Statistical properties of Radio Halos and the re-acceleration model

Galaxy clusters occupy a special position in the cosmic hierarchy as they are the largest bound structures in the Universe. There is now general agreement on a hierarchical picture for the formation of cosmic structures, in which galaxy clusters are supposed to form by accretion of matter and merging between smaller units. During merger events, shocks are driven by the gravity of the dark matter in the diffuse barionic component, which is heated up to the observed temperature. Radio and hard-X ray observations have discovered non-thermal components mixed with the thermal Intra Cluster Medium (ICM) and this is of great importance as it calls for a “revision” of the physics of the ICM. The bulk of present information comes from the radio observations which discovered an increasing number of Mpcsized emissions from the ICM, Radio Halos (at the cluster center) and Radio Relics (at the cluster periphery). These sources are due to synchrotron emission from ultra relativistic electrons diffusing through µG turbulent magnetic fields. Radio Halos are the most spectacular evidence of non-thermal components in the ICM and understanding the origin and evolution of these sources represents one of the most challenging goal of the theory of the ICM. Cluster mergers are the most energetic events in the Universe and a fraction of the energy dissipated during these mergers could be channelled into the amplification of the magnetic fields and into the acceleration of high energy particles via shocks and turbulence driven by these mergers. Present observations of Radio Halos (and possibly of hard X-rays) can be best interpreted in terms of the reacceleration scenario in which MHD turbulence injected during these cluster mergers re-accelerates high energy particles in the ICM. The physics involved in this scenario is very complex and model details are difficult to test, however this model clearly predicts some simple properties of Radio Halos (and resulting IC emission in the hard X-ray band) which are almost independent of the details of the adopted physics. In particular in the re-acceleration scenario MHD turbulence is injected and dissipated during cluster mergers and thus Radio Halos (and also the resulting hard X-ray IC emission) should be transient phenomena (with a typical lifetime <» 1 Gyr) associated with dynamically disturbed clusters. The physics of the re-acceleration scenario should produce an unavoidable cut-off in the spectrum of the re-accelerated electrons, which is due to the balance between turbulent acceleration and radiative losses. The energy at which this cut-off occurs, and thus the maximum frequency at which synchrotron radiation is produced, depends essentially on the efficiency of the acceleration mechanism so that observations at high frequencies are expected to catch only the most efficient phenomena while, in principle, low frequency radio surveys may found these phenomena much common in the Universe. These basic properties should leave an important imprint in the statistical properties of Radio Halos (and of non-thermal phenomena in general) which, however, have not been addressed yet by present modellings. The main focus of this PhD thesis is to calculate, for the first time, the expected statistics of Radio Halos in the context of the re-acceleration scenario. In particular, we shall address the following main questions: • Is it possible to model “self-consistently” the evolution of these sources together with that of the parent clusters? • How the occurrence of Radio Halos is expected to change with cluster mass and to evolve with redshift? How the efficiency to catch Radio Halos in galaxy clusters changes with the observing radio frequency? • How many Radio Halos are expected to form in the Universe? At which redshift is expected the bulk of these sources? • Is it possible to reproduce in the re-acceleration scenario the observed occurrence and number of Radio Halos in the Universe and the observed correlations between thermal and non-thermal properties of galaxy clusters? • Is it possible to constrain the magnetic field intensity and profile in galaxy clusters and the energetic of turbulence in the ICM from the comparison between model expectations and observations? Several astrophysical ingredients are necessary to model the evolution and statistical properties of Radio Halos in the context of re-acceleration model and to address the points given above. For these reason we deserve some space in this PhD thesis to review the important aspects of the physics of the ICM which are of interest to catch our goals. In Chapt. 1 we discuss the physics of galaxy clusters, and in particular, the clusters formation process; in Chapt. 2 we review the main observational properties of non-thermal components in the ICM; and in Chapt. 3 we focus on the physics of magnetic field and of particle acceleration in galaxy clusters. As a relevant application, the theory of Alfv´enic particle acceleration is applied in Chapt. 4 where we report the most important results from calculations we have done in the framework of the re-acceleration scenario. In this Chapter we show that a fraction of the energy of fluid turbulence driven in the ICM by the cluster mergers can be channelled into the injection of Alfv´en waves at small scales and that these waves can efficiently re-accelerate particles and trigger Radio Halos and hard X-ray emission. The main part of this PhD work, the calculation of the statistical properties of Radio Halos and non-thermal phenomena as expected in the context of the re-acceleration model and their comparison with observations, is presented in Chapts.5, 6, 7 and 8. In Chapt.5 we present a first approach to semi-analytical calculations of statistical properties of giant Radio Halos. The main goal of this Chapter is to model cluster formation, the injection of turbulence in the ICM and the resulting particle acceleration process. We adopt the semi–analytic extended Press & Schechter (PS) theory to follow the formation of a large synthetic population of galaxy clusters and assume that during a merger a fraction of the PdV work done by the infalling subclusters in passing through the most massive one is injected in the form of magnetosonic waves. Then the processes of stochastic acceleration of the relativistic electrons by these waves and the properties of the ensuing synchrotron (Radio Halos) and inverse Compton (IC, hard X-ray) emission of merging clusters are computed under the assumption of a constant rms average magnetic field strength in emitting volume. The main finding of these calculations is that giant Radio Halos are naturally expected only in the more massive clusters, and that the expected fraction of clusters with Radio Halos is consistent with the observed one. In Chapt. 6 we extend the previous calculations by including a scaling of the magnetic field strength with cluster mass. The inclusion of this scaling allows us to derive the expected correlations between the synchrotron radio power of Radio Halos and the X-ray properties (T, LX) and mass of the hosting clusters. For the first time, we show that these correlations, calculated in the context of the re-acceleration model, are consistent with the observed ones for typical µG strengths of the average B intensity in massive clusters. The calculations presented in this Chapter allow us to derive the evolution of the probability to form Radio Halos as a function of the cluster mass and redshift. The most relevant finding presented in this Chapter is that the luminosity functions of giant Radio Halos at 1.4 GHz are expected to peak around a radio power » 1024 W/Hz and to flatten (or cut-off) at lower radio powers because of the decrease of the electron re-acceleration efficiency in smaller galaxy clusters. In Chapt. 6 we also derive the expected number counts of Radio Halos and compare them with available observations: we claim that » 100 Radio Halos in the Universe can be observed at 1.4 GHz with deep surveys, while more than 1000 Radio Halos are expected to be discovered in the next future by LOFAR at 150 MHz. This is the first (and so far unique) model expectation for the number counts of Radio Halos at lower frequency and allows to design future radio surveys. Based on the results of Chapt. 6, in Chapt.7 we present a work in progress on a “revision” of the occurrence of Radio Halos. We combine past results from the NVSS radio survey (z » 0.05 − 0.2) with our ongoing GMRT Radio Halos Pointed Observations of 50 X-ray luminous galaxy clusters (at z » 0.2−0.4) and discuss the possibility to test our model expectations with the number counts of Radio Halos at z » 0.05 − 0.4. The most relevant limitation in the calculations presented in Chapt. 5 and 6 is the assumption of an “averaged” size of Radio Halos independently of their radio luminosity and of the mass of the parent clusters. This assumption cannot be released in the context of the PS formalism used to describe the formation process of clusters, while a more detailed analysis of the physics of cluster mergers and of the injection process of turbulence in the ICM would require an approach based on numerical (possible MHD) simulations of a very large volume of the Universe which is however well beyond the aim of this PhD thesis. On the other hand, in Chapt.8 we report our discovery of novel correlations between the size (RH) of Radio Halos and their radio power and between RH and the cluster mass within the Radio Halo region, MH. In particular this last “geometrical” MH − RH correlation allows us to “observationally” overcome the limitation of the “average” size of Radio Halos. Thus in this Chapter, by making use of this “geometrical” correlation and of a simplified form of the re-acceleration model based on the results of Chapt. 5 and 6 we are able to discuss expected correlations between the synchrotron power and the thermal cluster quantities relative to the radio emitting region. This is a new powerful tool of investigation and we show that all the observed correlations (PR − RH, PR − MH, PR − T, PR − LX, . . . ) now become well understood in the context of the re-acceleration model. In addition, we find that observationally the size of Radio Halos scales non-linearly with the virial radius of the parent cluster, and this immediately means that the fraction of the cluster volume which is radio emitting increases with cluster mass and thus that the non-thermal component in clusters is not self-similar.

Modeling the cosmological co-evolution of supermassive black holes and galaxies

In this Thesis, we investigate the cosmological co-evolution of supermassive black holes (BHs), Active Galactic Nuclei (AGN) and their hosting dark matter (DM) halos and galaxies, within the standard CDM scenario. We analyze both analytic, semi-analytic and hybrid techniques and use the most recent observational data available to constrain the assumptions underlying our models. First, we focus on very simple analytic models where the assembly of BHs is directly related to the merger history of DM haloes. For this purpose, we implement the two original analytic models of Wyithe & Loeb 2002 and Wyithe & Loeb 2003, compare their predictions to the AGN luminosity function and clustering data, and discuss possible modifications to the models that improve the match to the observation. Then we study more sophisticated semi-analytic models in which however the baryonic physics is neglected as well. Finally we improve the hybrid simulation of De Lucia & Blaizot 2007, adding new semi-analytical prescriptions to describe the BH mass accretion rate during each merger event and its conversion into radiation, and compare the derived BH scaling relations, fundamental plane and mass function, and the AGN luminosity function with observations. All our results support the following scenario: • The cosmological co-evolution of BHs, AGN and galaxies can be well described within the CDM model. • At redshifts z & 1, the evolution history of DM halo fully determines the overall properties of the BH and AGN populations. The AGN emission is triggered mainly by DM halo major mergers and, on average, AGN shine at their Eddington luminosity. • At redshifts z . 1, BH growth decouples from halo growth. Galaxy major mergers cannot constitute the only trigger to accretion episodes in this phase. • When a static hot halo has formed around a galaxy, a fraction of the hot gas continuously accretes onto the central BH, causing a low-energy “radio” activity at the galactic centre, which prevents significant gas cooling and thus limiting the mass of the central galaxies and quenching the star formation at late time. • The cold gas fraction accreted by BHs at high redshifts seems to be larger than at low redshifts.

Analysis of the nuclear properties of Brightest Cluster Galaxies and comparison with "normal" radio galaxies.

The aim of this PhD thesis is the study of the nuclear properties of radio loud AGN. Multiple and/or recent mergers in the host galaxy and/or the presence of cool core in galaxy clusters can play a role in the formation and evolution of the radio source. Being a unique class of objects (Lin & Mohr 2004), we focus on Brightest Cluster Galaxies (BCGs). We investigate their parsec scale radio emission with VLBI (Very Long Baseline Interferometer) observations. From literature or new data , we collect and analyse VLBA (Very Long Baseline) observations at 5 GHz of a complete sample of BCGs and ``normal'' radio galaxies (Bologna Complete Sample , BCS). Results on nuclear properties of BCGs are coming from the comparison with the results for the Bologna COmplete Sample (BCS). Our analysis finds a possible dichotomy between BCGs in cool-core clusters and those in non-cool-core clusters. Only one-sided BCGs have similar kinematic properties with FRIs. Furthermore, the dominance of two-sided jet structures only in cooling clusters suggests sub-relativistic jet velocities. The different jet properties can be related to a different jet origin or to the interaction with a different ISM. We larger discuss on possible explanation of this.

Essays in industrial organization

The thesis consists in three papers that investigate two debated topics in industrial organization (in particular in competition policy) through formal models based on game-theory. The first paper deals with potential effects of conglomerate mergers among leading brands in facilitating foreclosure of new suppliers through the retailing channel. The two remaining papers analyze antitrust policy with respect to monopolization of markets of spare parts and aftermarkets by monopolistic equipment manufacturers.

I diritti particolari dei soci nelle S.r.l.

Il tema oggetto della presente tesi di dottorato trae spunto dall'analisi dell'art. 2468 c.c. nel quale può dirsi contenuto il nucleo fondamentale della disciplina della partecipazione sociale. In primo luogo vi è un'analisi comparata dell'istituto in esame con quelli previsti negli altri paesi europei. Dopo una breve analisi di diritto comparato ci si è concentrati sulla legislazione italiana ed, in particolare, l'elaborato cerca di dare una risposta ai seguenti interrogativi: a) quali sono i “particolari diritti” ex art. 2468 c.c.? b) si può parlare di “categorie speciali di partecipazioni”? Con riferimento al primo interrogativo va considerato che il modello legale prevede che i diritti particolari attribuibili ai soci riguardano l’amministrazione della società o la distribuzione degli utili. Tale disciplina sussiste quando l’atto costitutivo attribuisce i particolari diritti senza disporre nulla sulla loro trasferibilità, modificabilità ed inerenza alla partecipazione sociale piuttosto che alla persona del socio. Ci si è chiesti quali siano i confini delle due categorie espressamente previste dall’art. 2468, 3 c.c. e se tale previsione sia tassativa piuttosto che esemplificativa, aprendosi quindi la strada alla libera determinabilità dei diritti sociali, alla stregua di quanto sancisce l’art. 2348, 2 c.c., in merito alle azioni “speciali”. Si giunge così alla conclusione che la previsione sia esemplificativa e che anche nelle s.r.l. le parti sono libere di attribuire ai soci diritti sociali diversi da quelli derivanti dal modello legale, nei limiti derivanti da specifiche norme imperative. Nel secondo capitolo sono stati approfonditi i principi dettati dall’art. 2468 c.c., la natura di tali "particolari diritti" ed i loro profili di qualificazione nonché le loro esplicazioni contenutistiche Nel terzo capitolo si è analizzato cosa accade ai "particolari diritti" in caso di vicende modificative. Nel quarto capitolo poi è stato affrontata la controversa questione relativa alla possibilità di creare delle “categorie di quote”.

Essays in Industrial Organization

This dissertation comprises four essays on the topic of industrial organization and environmental economics. The first essay investigates the profitability of horizontal mergers of firms with price adjustments. We take a differential game approach and both the open-loop as well as the closed-loop equlibria are considered. In the second essay, using the same approach as the first one, we study the profitability of horizontal merger of firms where the demand function is nonlinear. We take into consideration the open-loop equilibrium. The third essay studies the profitability of exogenous output constraint in a differential game model with price dynamics under the feedback strategies. The fourth essay investigates a second-best trade agreement between two countries when pollution spillovers are asymmetric to examine the strategic behavior of governments in using pollution taxes and tariffs under trade liberalization.

Chemical and kinematical properties of Blue Straggler stars in Galactic globular clusters

Blue straggler stars (BSSs) are brighter and bluer (hotter) than the main-sequence (MS) turnoff and they are known to be more massive than MS stars.Two main scenarios for their formation have been proposed:collision-induced stellar mergers (COL-BSSs),or mass-transfer in binary systems (MT-BSSs).Depleted surface abundances of C and O are expected for MT-BSSs,whereas no chemical anomalies are predicted for COL-BSSs.Both MT- and COL-BSSs should rotate fast, but braking mechanisms may intervene with efficiencies and time-scales not well known yet,thus preventing a clear prediction of the expected rotational velocities.Within this context,an extensive survey is ongoing by using the multi-object spectrograph FLAMES@VLT,with the aim to obtain abundance patterns and rotational velocities for representative samples of BSSs in several Galactic GCs.A sub-population of CO-depleted BSSs has been identified in 47 Tuc,with only one fast rotating star detected.For this PhD Thesis work I analyzed FLAMES spectra of more than 130 BSSs in four GCs:M4,NGC 6397,M30 and ω Centauri.This is the largest sample of BSSs spectroscopically investigated so far.Hints of CO depletion have been observed in only 4-5 cases (in M30 and ω Centauri),suggesting either that the majority of BSSs have a collisional origin,or that the CO-depletion is a transient phenomenon.Unfortunately,no conclusions in terms of formation mechanism could be drawn in a large number of cases,because of the effects of radiative levitation. Remarkably,however,this is the first time that evidence of radiative levitation is found in BSSs hotter than 8200 K.Finally, we also discovered the largest fractions of fast rotating BSSs ever observed in any GCs:40% in M4 and 30% in ω Centauri.While not solving the problem of BSS formation,these results provide invaluable information about the BSS physical properties,which is crucial to build realistic models of their evolution.

La fusión transfronteriza de sociedades en el derecho europeo.

La libertad de establecimiento y la movilidad de las empresas juegan un papel fundamental en el proceso comunitario de integración. Las empresas buscan nuevas formas de cooperación e integración que les permitan ocupar cuotas de mercado cada vez más importantes. De entre las modalidades de integración y cooperación que tienen a su disposición, la fusión transfronteriza de sociedades es, sin duda, una de las más relevantes. Es evidente que las fusiones de sociedades pertenecientes a Estados miembros distintos podrían tener una enorme importancia en el proceso de integración del mercado único. Sin embargo, la posibilidad de llevar a cabo con éxito una fusión transfronteriza en el ámbito comunitario era improbable hasta época reciente. Dos tipos de impedimentos la dificultaban: por una parte, obstáculos a la libertad de establecimiento por parte de los ordenamientos jurídicos de los Estados miembros; por otro, obstáculos de Derecho internacional privado. En cambio, hoy la mayor parte de estos impedimentos han sido superados gracias, en primer lugar, al progresivo reconocimiento del derecho de establecimiento de las sociedades por el Tribunal de Justicia, y en segundo, a la importante Directiva 2005/56/CE relativa a las fusiones transfronterizas de sociedades de capital. Esta Directiva impone a los Estados miembros una serie de normas de mínimos de derecho material a fin de armonizar la tutela de los intereses de los sujetos implicados más débiles (sobre todo, los trabajadores y los socios). De igual manera, establece una serie de normas de conflicto para resolver la cuestión de la ley aplicable a las fusiones transfronterizas. Este trabajo tiene como objetivo principal valorar la relevancia de los pronunciamientos del Tribunal de Justicia y de las actuaciones del legislador europeo orientados a impedir las restricciones a las fusiones transfronterizas de sociedades en el territorio comunitario.

A study of extended radio galaxies in the Shapley concentration core

Extended cluster radio galaxies show different morphologies com- pared to those found isolated in the field. Indeed, symmetric double radio galaxies are only a small percentage of the total content of ra- dio loud cluster galaxies, which show mainly tailed morphologies (e.g. O’Dea & Owen, 1985). Moreover, cluster mergers can deeply affect the statistical properties of their radio activity. In order to better understand the morphological and radio activity differences of the radio galaxies in major mergeing and non/tidal-merging clusters, we performed a multifrequency study of extended radio galax- ies inside two cluster complexes, A3528 and A3558. They belong to the innermost region of the Shapley Concentration, the most massive con- centration of galaxy clusters (termed supercluster) in the local Universe, at average redshift z ≈ 0.043. We analysed low frequency radio data performed at 235 and 610 MHz with Giant Metrewave Radio Telescope (GMRT) and we combined them with proprietary and literature observations, in order to have a wide frequency range (150 MHz to 8.4 GHz) to perform the spectral analysis. The low frequency images allowed us to carry out a detailed study of the radio tails and diffuse emission found in some cases. The results in the radio band were also qualitatively compared with the X-ray information coming from XMM-Newton observations, in order to test the interaction between radio galaxies and cluster weather. We found that the brightest central galaxies (BCGs) in the A3528 cluster complex are powerful and present substantial emission from old relativistic plasma characterized by a steep spectrum (α > 2). In the light of observational pieces of evidence, we suggest they are possible re-started radio galaxies. On the other hand, the tailed radio galaxies trace the host galaxy motion with respect to the ICM, and our find- ings is consistent with the dynamical interpretation of a tidal interaction (Gastaldello et al. 2003). On the contrary, the BCGs in the A3558 clus- ter complex are either quiet or very faint radio galaxies, supporting the hypothesis that clusters mergers quench the radio emission from AGN.

Tax-Optimal Step-Up and Imperfect Loss Offset

In the field of mergers and acquisitions, German and international tax law allow for several opportunities to step up a firm's assets, i.e., to revaluate the assets at fair market values. When a step-up is performed the taxpayer recognizes a taxable gain, but also obtains tax benefits in the form of higher future depreciation allowances associated with stepping up the tax base of the assets. This tax-planning problem is well known in taxation literature and can also be applied to firm valuation in the presence of taxation. However, the known models usually assume a perfect loss offset. If this assumption is abandoned, the depreciation allowances may lose value as they become tax effective at a later point in time, or even never if there are not enough cash flows to be offset against. This aspect is especiallyrelevant if future cash flows are assumed to be uncertain. This paper shows that a step-up may be disadvantageous or a firm overvalued if these aspects are not integrated into the basic calculus. Compared to the standard approach, assets should be stepped up only in a few cases and - under specific conditions - at a later point in time. Firm values may be considerably lower under imperfect loss offset.

Corporate acquisitions by listed firms: the experience of a comprehensive sample

The sample used includes tender offers, mergers, acquisitions of privately held corporations, and comprehensive acquisitions of other firms' assets. According to the results, the majority of bid announcements prompt significant stock price increases, especially when controlling for partial anticipation problems and relative acquisition size. Furthermore, there is little evidence that firms that engage in "bad" acquisitions are more likely to be taken over.

Umstrukturierung von kollektiven Kapitalanlagen

The issuance of the Swiss Federal Act on Collective Investment Schemes (CISA) in the year 2007 and the revision thereof in 2013 expanded the possibilities for restructuring of collective investment schemes and simplified the procedures. For instance, in article 95 the CISA contains a provision that deals in a non-conclusive way with the restructuring of open-ended collective investment schemes. As a novelty regulation, this provision allows for mergers not only of contractual funds but also of investment companies with variable capital (SICAV). Additionally, the transformation of an open-ended collective investment into another CISA legal form was also included into the catalogue of possible restructuring processes. Further, a SICAV still maintains the possibility for asset transfer according to article 69 ff. of the Federal Act on Merger, Demerger, Transformation and Transfer of Assets (MerA). However, not all open questions have been clarified. As long as the CISA does not contain restructuring provisions, as is the case with closed-ended collective investment schemes, generally the MerA and/or the Swiss Code of Obligations (CO) apply. The interplay of diverse, partly overlapping legislative bases leads to the emergence of unwanted gaps. Moreover, the partial revision of the CISA was not completely implemented at the ordinance level. Among others, the following issues have not been conclusively or clearly regulated: the permitted combinations of mergers, the merger procedure of the SICAV, the permitted restructurings, the transformation procedure as well as the application scope of the asset transfer for collective investment schemes according to the relevant merger regulations. Although these questions will be clarified in the following article through a systematic and teleological analysis of the relevant regulations, it is to be hoped that the gaps will be closed within the next CISA revision in order to guarantee comprehensive legal certainty.

Has Deregulation Affected Births, Deaths, and Marriages in the U.S. Commercial Banking Industry?

Regulatory change not seen since the Great Depression swept the U.S. banking industry beginning in the early 1980s and culminating with the Interstate Banking and Branching Efficiency Act of 1994. Banking analysts anticipated dramatic consolidation with large numbers of mergers and acquisitions. Less well documented, but equally important, was the continuing entry of new banks, tempering the decline in the overall number of banking institutions. This paper examines whether deregulation affected bank new-charter (birth), failure (death), and merger (marriage) rates during the 1980s and 1990s after controlling for bank performance and state economic activity. We find evidence that intrastate deregulation stimulated births and marriages, but not deaths. Moreover, we find little evidence that interstate deregulation affected births, deaths, or marriages, except that the marriage rate rose after the implementation of the Interstate Banking and Branching Efficiency Act. Finally, pair-wise temporal causality tests among births, deaths, and marriages show that mergers temporally lead new charters and that failures lead mergers (a demonstration effect).

Has Deregulation Affected Births, Deaths, and Marriages in the U.S. Commercial Banking Industry?

Regulatory change not seen since the Great Depression swept the U.S. banking industry beginning in the early 1980s and culminating with the Interstate Banking and Branching Efficiency Act of 1994. Banking analysts anticipated dramatic consolidation with large numbers of mergers and acquisitions. Less well documented, but equally important, was the continuing entry of new banks, tempering the decline in the overall number of banking institutions. This paper examines whether deregulation affected bank new-charter, failure, and merger rates during the 1980s and 1990s after controlling for bank performance and state economic activity. We find evidence that intrastate deregulation stimulated new charters and mergers, but not failures. Moreover, we find little evidence that interstate deregulation affected new charters, failures, or mergers.

Deregulation and Structural Change in the U.S. Commercial Banking Industry

Regulatory change not seen since the Great Depression swept the U.S. banking industry beginning in the early 1980s and culminated with the Interstate Banking and Branching Efficiency Act of 1994. Banking analysts anticipated dramatic consolidation with large numbers of mergers and acquisitions. Some expressed concern about the long-term health of the smaller community banks. This paper describes and discusses the actual evolution of the U.S. banking industry over the past two decades, using the 1976 to 1998 Report of Condition and Income (Call Report) and merger data recently posted on the web site of the Federal Reserve Bank of Chicago. Among several results, more permissive interstate banking and branching regulation significantly associates with higher merger rates, with lower net entry rates, and with higher concentration within states. Interestingly, more permissive intrastate banking and branching regulation only associates with higher concentration.