On the Extinction Probability for Bisexual Branching Processes in Varying Environments

2000 Mathematics Subject Classification: 60J80

Large Deviations and Branching Processes

These lecture notes are devoted to present several uses of Large Deviation asymptotics in Branching Processes.

Em Estimation of the Offspring Distribution in Mutitype Branching Processes - a Model in Cell Kinetics

2000 Mathematics Subject Classification: 60J80, 60J85, 62P10, 92D25.

Subcritical Randomly Indexed Branching Processes

2000 Mathematics Subject Classification: 60J80, 62P05.

Branching Processes in Autoregressive Random Environment

2000 Mathematics Subject Classification: 60J80, 60K05.

Some Bounds for Almost Absorbing Birth and Death Processes with Catastrophes

2000 Mathematics Subject Classification: 60J27.

Characterization of Schrödinger Processes with Unbounded Potentials

2000 Mathematics Subject Classification: 49L20, 60J60, 93E20

Time to Extinction in Branching Processes and its Application in Epidemiology

2010 Mathematics Subject Classification: Primary 60J80; Secondary 92D30.

A linear relational DEA model to evaluate two-stage processes with shared inputs

Two-stage data envelopment analysis (DEA) efficiency models identify the efficient frontier of a two-stage production process. In some two-stage processes, the inputs to the first stage are shared by the second stage, known as shared inputs. This paper proposes a new relational linear DEA model for dealing with measuring the efficiency score of two-stage processes with shared inputs under constant returns-to-scale assumption. Two case studies of banking industry and university operations are taken as two examples to illustrate the potential applications of the proposed approach.

Logisztikai folyamatok informatikai támogatottsága Magyarországon – fókuszban a disztribúciós logisztika = Backing logistics processes with information technology – current practice and improvement possibilities at Hungarian companies

Az elemzés egy, a Budapesti Corvinus Egyetem (BCE) Logisztika és Ellátási Lánc Menedzsment Tanszéke által végzett kérdőíves felmérés eredményeit foglalja össze. A kutatás alapvető célja, hogy felmérje és bemutassa a hazai vállalatok logisztikai, ezen belül is elsősorban disztribúciós logisztikai folyamatainak informatikai oldalról történő jelenlegi támogatottsági szintjét és a következő két-három év e téren várható fejlesztési irányait. A kutatás szisztematikusan kitért a logisztikai információs rendszer valamennyi alrendszerére, vizsgálta a különböző azonosítási megoldások elterjedtségét, a vállalatirányítási rendszer, illetve egyes moduljainak használatával kapcsolatban kialakult gyakorlatot, de a logisztika stratégiai döntéseinek informatikai támogatottságát és a használt kommunikációs technikákat is. Összességében megállapíthatjuk, hogy a logisztikai információs rendszerek fejlettségi szintje ma Magyarországon közepesnek mondható, fontos megjegyezni azonban, hogy a KKV szektor e téren is jelentős lemaradással rendelkezik. Ez természetesen azt is jelent, hogy az informatikai eszközök alkalmazásának kiterjesztésével még jelentős teljesítményjavulás érhető el. = The essay summarizes the results of a survey carried out by Corvinus University of Budapest, Department of Logistics and Supply Chain Management. Aim of the survey was to analyze and describe the actual Hungarian company practice regarding the IT support of logistics – and particularly distribution – processes, and the plans of developing it within the next 2-3 years. Survey has systematically covered all fields of logistics information system, analyzed the prevalence of different identification techniques and systems. On the whole we appoint that logistics information systems applied by Hungarian companies are on satisfactory level; however it is important to tell that SME companies are in huge lag. This means that improving logistics information system hides the possibility of considerable performance development.

Dealing with Immigration in the Context of EU Enlargement: the Case of Transitional Provisions

This analysis addresses the issue of immigration in the context of the European Union enlargement. Focusing on the use of transitional provisions, it attempts to explain why and when EU leaders give workers from new member countries access to their labor market. Building on the observation that EU leaders seem not to use provisions in the spirit of the law, I gauge the importance of domestic political stakes in the use of those provisions. The empirical results suggest that although EU leaders implement and repeal provisions based on economic circumstances, political factors do intervene in the decision-making process. However, it remains uncertain whether those political factors are institutional or purely electoral.

Branching dendrites with resonant membrane: a "sum-over-trips" approach

Dendrites form the major components of neurons. They are complex branching structures that receive and process thousands of synaptic inputs from other neurons. It is well known that dendritic morphology plays an important role in the function of dendrites. Another important contribution to the response characteristics of a single neuron comes from the intrinsic resonant properties of dendritic membrane. In this paper we combine the effects of dendritic branching and resonant membrane dynamics by generalising the "sum-over-trips" approach [Abbott, L.F., Fahri, E., Gutmann, S.: The path integral for dendritic trees. Biological Cybernetics 66, 49--60 (1991)]. To illustrate how this formalism can shed light on the role of architecture and resonances in determining neuronal output we consider dual recording and reconstruction data from a rat CA1 hippocampal pyramidal cell. Specifically we explore the way in which an $I_{h}$ current contributes to a voltage overshoot at the soma.

Shifting Processes with Cyclically Exchangeable Increments at Random

International audience

Feller transition functions, Resolvent Decomposition Theorems, and their application in unstable denumerable Markov processes

This paper surveys the recent progresses made in the field of unstable denumerable Markov processes. Emphases are laid upon methodology and applications. The important tools of Feller transition functions and Resolvent Decomposition Theorems are highlighted. Their applications particularly in unstable denumerable Markov processes with a single instantaneous state and Markov branching processes are illustrated.

Uniqueness criteria for continuous-time Markov chains with general transition structures

We derive necessary and sufficient conditions for the existence of bounded or summable solutions to systems of linear equations associated with Markov chains. This substantially extends a famous result of G. E. H. Reuter, which provides a convenient means of checking various uniqueness criteria for birth-death processes. Our result allows chains with much more general transition structures to be accommodated. One application is to give a new proof of an important result of M. F. Chen concerning upwardly skip-free processes. We then use our generalization of Reuter's lemma to prove new results for downwardly skip-free chains, such as the Markov branching process and several of its many generalizations. This permits us to establish uniqueness criteria for several models, including the general birth, death, and catastrophe process, extended branching processes, and asymptotic birth-death processes, the latter being neither upwardly skip-free nor downwardly skip-free.