Scaling and data collapse for the mean exit time of asset prices

We study theoretical and empirical aspects of the mean exit time (MET) of financial time series. The theoretical modeling is done within the framework of continuous time random walk. We empirically verify that the mean exit time follows a quadratic scaling law and it has associated a prefactor which is specific to the analyzed stock. We perform a series of statistical tests to determine which kind of correlation are responsible for this specificity. The main contribution is associated with the autocorrelation property of stock returns. We introduce and solve analytically both two-state and three-state Markov chain models. The analytical results obtained with the two-state Markov chain model allows us to obtain a data collapse of the 20 measured MET profiles in a single master curve.

Occupancy of a single site by many random walkers

We consider an infinite number of noninteracting lattice random walkers with the goal of determining statistical properties of the time, out of a total time T, that a single site has been occupied by n random walkers. Initially the random walkers are assumed uniformly distributed on the lattice except for the target site at the origin, which is unoccupied. The random-walk model is taken to be a continuous-time random walk and the pausing-time density at the target site is allowed to differ from the pausing-time density at other sites. We calculate the dependence of the mean time of occupancy by n random walkers as a function of n and the observation time T. We also find the variance for the cumulative time during which the site is unoccupied. The large-T behavior of the variance differs according as the random walk is transient or recurrent. It is shown that the variance is proportional to T at large T in three or more dimensions, it is proportional to T3/2 in one dimension and to TlnT in two dimensions.

Mean first-passage times for systems driven by gamma and McFadden dichotomous noise

We consider mean first-passage times (MFPTs) for systems driven by non-Markov gamma and McFadden dichotomous noises. A simplified derivation is given of the underlying integral equations and the theory for ordinary renewal processes is extended to modified and equilibrium renewal processes. The exact results are compared with the MFPT for Markov dichotomous noise and with the results of Monte Carlo simulations.

Mean first-passage times for systems driven by equilibrium persistent-periodic dichotomous noise

In a recent paper, [J. M. Porrà, J. Masoliver, and K. Lindenberg, Phys. Rev. E 48, 951 (1993)], we derived the equations for the mean first-passage time for systems driven by the coin-toss square wave, a particular type of dichotomous noisy signal, to reach either one of two boundaries. The coin-toss square wave, which we here call periodic-persistent dichotomous noise, is a random signal that can only change its value at specified time points, where it changes its value with probability q or retains its previous value with probability p=1-q. These time points occur periodically at time intervals t. Here we consider the stationary version of this signal, that is, equilibrium periodic-persistent noise. We show that the mean first-passage time for systems driven by this stationary noise does not show either the discontinuities or the oscillations found in the case of nonstationary noise. We also discuss the existence of discontinuities in the mean first-passage time for random one-dimensional stochastic maps.

Mean first-passage time for system driven by the coin-toss square wave

We study the mean-first-passage-time problem for systems driven by the coin-toss square-wave signal. Exact analytic solutions are obtained for the driftless case. We also obtain approximate solutions for the potential case. The mean-first-passage time exhibits discontinuities and a remarkable nonsmooth oscillatory behavior which, to our knowledge, has not been observed for other kinds of driving noise.

Body composition using bio-impedance analysis in pediatric patients with inflammatory bowel disease. Corcordance with dual energy X-ray absorptiometry and comparison with healthy controls

Introduction: Growth is a central process in paediatrics. Weight and height evaluation are therefore routine exams for every child but in some situation, particularly inflammatory bowel disease (IBD), a wider evaluation of nutritional status needs to be performed. Objectives: To assess the accuracy of bio-impedance analysis (BIA) compared to the gold standard dual energy X-ray absorptiometry (DEXA) in estimating percentage body fat (fat mass; FM) and lean body mass (fat free mass; FFM) in children with inflammatory bowel disease (IBD). To compare FM and FFM levels between patients with IBD and healthy controls. Methods: Twenty-nine healthy controls (12 females; mean age: 12.7 ± 1.9 years) and 21 patients (11 females; 14.3 ± 1.3 years) were recruited from August 2011 to October 2012 at our institution. BIA was performed in all children and DEXA in patients only. Concordance between BIA and DEXA was assessed using Lin's concordance correlation and the Bland-Altman method. Between-group comparisons were made using analysis of variance adjusting for age. Results: BIA-derived FM% showed a good concordance with DEXA-derived values, while BIA-derived FFM% tended to be slightly higher than DEXA-derived values (table). No differences were found between patients and controls regarding body mass index (mean ± SD: 19.3 ± 3.3 vs. 20.1 ± 2.8 kg/m2, respectively; age-adjusted P = 0.08) and FM% (boys: 25.3 ± 10.2 vs. 22.6 ± 7.1%, for patients and controls, respectively; P = 0.20; girls: 28.2 ± 5.7 vs. 26.4 ± 7.7%; P = 0.91). Also, no differences were found regarding FFM% in boys (74.9 ± 10.2 vs. 77.4 ± 7.1%; P = 0.22) and girls (71.8 ± 5.6 vs. 73.5 ± 7.7%; P = 0.85). Conclusion: BIA adequately assesses body composition (FM%) in children with IBD and could advantageously replace DEXA, which is more expensive and less available. No differences in body composition were found between children with IBD and healthy controls.

Evaluation des pratiques d'irrigation, de fertilisation et d'application de pesticides dans l'agriculture périurbaine de Dakar, Sénégal

RESUMEL'agriculture urbaine et périurbalne - nommée ci-après AU - est un thème fort de recherche transversale, au vu des nombreux enjeux économiques, sociaux et environnementaux. L'objectif de cette recherche était de contribuer à une meilleure connaissance des processus de transfert de polluants et du cycle des nutriments à l'échelle locale, afin de déterminer sous quelles conditions l'AU de Dakar peut être pratiquée sans porter atteinte à la santé et à l'environnement.Une approche basée sur l'étude des processus géochimiques dans ie sol jusqu'à la nappe a été choisie, à l'échelle de la parcelle cultivée et à une échelle un peu plus large de la zone périurbaine de Dakar pour déterminer les influences du type d'occupation du sol.L'évaluation des impacts de l'irrigation avec des eaux usées brutes et des eaux de nappe saumâtres sur la qualité des sols (chapitre 2) a montré que l'alcalinité et les teneurs en calcium élevées des eaux saumâtres induisent la précipitation de CaC03 dans l'horizon superficiel du sol. Na remplace consécutivement Ca sur le complexe argilo-humique du sol et les bicarbonates diminuent dans la solution du sol. Le carbone organique dissout (COD) augmente significativement dans la solution du sol et dans la nappe sous-jacente. Malgré l'alcalinité et les teneurs très élevées en calcium des eaux usées, il y a peu de précipitation de CaC03 dans l'horizon superficiel du sol et une faible augmentation du sodium échangeable ESP. La nitrification de l'ammonium des eaux usées (moy 190mg/L à Pikine) produit des protons, qui ne sont plus tamponnés par les bicarbonates exportés hors du profil. Il y a alors une nette baisse de pH des sols irrigués par des eaux usées non traitées. Les sols irrigués par des eaux usées et saumâtres stockent moins de C et Ν que les sols de référence.L'évaluation de l'influence de l'occupation des sols en zone périurbaine sur à la nappe phréatique peu profonde (chapitre 3) a permis de déterminer les traceurs représentatifs de l'occupation du sol, à savoir Br/CI, NO3/CI et δ180-Ν03 pour l'irrigation par des eaux usées, pH et δ15Ν-Ν03 pour l'irrigation par des eaux de nappe, et Rb+Cr et Κ pour les lixiviats de fosses septiques. Ce chapitre a mis en évidence des points importants de la dynamique de l'azote en zone périurbaine sous deux occupations du sol : (1) la dénitrification est un processus important dans l'agrosystème périurbain de Dakar en bas de dune, dans les gleysols où l'on trouve des conditions temporairement réduites et un substrat organique favorables aux microorganismes de la dénitrification. Les teneurs en nitrates sont presque nulles avec irrigation d'eau de nappe. (2) en bas de pente, mais avec irrigation quotidienne par les eaux usées, l'apport continu d'ammonium inhibe probablement la dénitrification, mais favorise la volatilisation. (3) la nitrification de l'ammonium dans la nappe lors de la lixiviation des fosses septiques se distingue de la nitrification de l'ammonium dans la zone non saturée dans la zone d'agriculture périurbaine par la composition isotopique de l'oxygène de l'eau. Une comparaison des flux d'azote entre l'agrosystème et les quartiers périurbains de Dakar (chapitre 4) ont révélé que ces derniers étaient du même ordre de grandeur par unité de surface, à savoir 2-4 tonnes Ν /ha/an.L'évaluation des flux de pesticides dans l'agrosystème et des risques induits pour les eaux souterraines (chapitre 5) a révélé un fiux total de pesticides de 60kg/ha/an, totalisant 15 matières actives. Seules deux de ces matières actives sont autorisées par le comité des pesticides sahélien. Les pesticides les plus utilisés par les producteurs sont l'organochloré dicofol, les organophosphorés methamidophos, dimethoate et fenithrotion ainsi que le cabamate methomyl. Les flux les plus importants sont de 9 à 7 kg/ha/an (methomyl, methamidophos, ethoprophos et dicofol). Les pesticides qui présentent un risque élevé de contamination des eaux souterraines et qui devraient être prioritaires pour un suivi analytique sont : le carbofuran, le dimethoate, l'ethoprophos et le methomyl.En conclusion, une meilleure gestion de la fertilisation est nécessaire dans la zone d'AU de Dakar, afin de (1) réduire les pertes gazeuses qui contribuent à l'effet de serre, (2) de ralentir la minéralisation du carbone et de l'azote organiques pour créer un stock de C et Ν dans ces sols, (3) de limiter le lessivage dans la nappe et enfin, 4) d'augmenter l'efficacité d'utilisation de Ν par les plantes. Une optimisation de l'irrigation devrait limiter l'alcalinisation secondaire. Enfin, la mise en place d'une lutte intégrée ou biologique contre les ravageurs est indispensable afin de minimiser les risques pour les eaux souterraines et les mares permanentes.ABSTRACTUrban and periurban agriculture (UA) is an important issue in southern countries, because of its key role in their social and economical development and its environmental concern. The goal of this study was to contribute to a better understanding of pollutant transfer and nutrient cycling at the local scale, in order to implement the necessary improvements to guarantee the sustainability of this practice.An approach based on geochemical processes occurring in the vadose zone from the surface down to the groundwater level was chosen, at the scale of cultivated plots and at the regional scale of Dakar periurban areas, to determine the influence of land use.The assessment of irrigation with untreated domestic wastewater and brackish water on soil quality (chapter 2) showed: (1) that the high alkalinity and calcium contents of brackish water induce CaC03 precipitation in the top layer of the soil and therefore a replacement of Ca by Na on the clay- humic complexes, strongly marked during the dry season. Dissolved organic carbon (DOC) increased significantly in the soil solution and in the underlying groundwater. (2) in spite of the similarly high alkalinity and Ca contents of waste water, there is only little CaC03 precipitation and a low increase of the percentage of exchangeable sodium (ESP) in the soil top layer. The nitrification of the ammonium of wastewater (mean 190 mg/L in Pikine) produces protons, which are not any more buffered by bicarbonates exported out of the soil profile, which leads to a net decline of soil pH. Both soils irrigated with untreated wastewater and brackish water store less of C and Ν than soils irrigated with non saline groundwater.The assessment of the impact of land use on the shallow groundwater (chapter 3) allowed determining representative tracers of the land use. Low Br/CI ratio, high NO3/CI ratio and low δ1βΟ- nitrate indicated the influence of wastewater; high pH and high 515N-nitrates indicated the influence of brackish water together with high amendments of organic fertilizers; high Rb+Cr and Κ indicated the influence of poor sanitation facilities in periurban districts (septic tank leakage). This chapter also pointed out the following facts about the nitrogen dynamics : (1) denitrification is a key-process in the Dakar UA agrosystem in the gleysols irrigated with groundwater. The underlying groundwater is almost nitrate free. (2) in the Gleysols irrigated with waste water, ammonium inhibits denitrification but facilitate ammoniac volatilization. A comparison of nitrogen balance between the UA agrosystem and the periurban districts of Dakar (chapter 4) revealed similar flows per surface unit, namely 2-4 tons Ν / ha / year.The evaluation of pesticides use in the UA agrosystem and the risk assessment for the groundwater (chapter 5) revealed a total flow of pesticides of 60kg / ha / year, totalizing 15 active substances. Only two of these are authorized by the Sahelian Pesticides Committee. The most used pesticides are dicofol (organochlorinated), methamidophos, dimethoate and fenithrotion (organophosphate) as well as methomyl. (carbamate). The most important flows vary between 9 to 7 kg / ha / year. Pesticides with a high risk of groundwater contamination - according to SIRIS and EPRIP 2 indicators - are: carbofuran, dimethoate, ethoprophos and methomyl. These substances should be established as a priority for an analytical follow-up in the different environmental compartments.In conclusion, a better management of the fertilization is necessary in the Dakar UA, (1) to reduce the gaseous losses which contribute to greenhouse emissions (2) to slow down the mineralization of the organic carbon and the nitrogen, in order to enhance the C and Ν stock in these soils, (3) to limit the nitrate leaching in the groundwater and finally, 4) to increase the N-use efficiency of plants. An optimization of the irrigation scheme should limit the secondary sodisation if coupled with an increase the stable organic matter of the soil. An integrated or biologic crop pest strategy is urgently needed to minimize risks with respect to ground and surface water (ponds used for fishing).RESUME LARGE PUBLICL'agriculture mondiale connaît actuellement une crise majeure, affectée par les changements climatiques, la sécurité alimentaire et les dégradations de l'environnement. Elle n'a plus le rôle unique de produire, mais devient un élément essentiel de la protection des ressources naturelles et du paysage. Les politiques agricoles basées sur les marchés mondiaux devront se réorienter vers une agriculture locale basée sur le développement durable.La production alimentaire située dans l'enceinte des villes, nommée agriculture urbaine ou périurbaine (AU ci-après) joue un rôle important dans le contexte actuel d'accroissement de la population et de la pauvreté urbaines. L'AU concerne en effet la majorité des mégapoies du monde, fait vivre plus de 200 millions de personnes dans les pays du Sud, fournit jusqu'à 80% de la demande urbaine en certains produits frais, fait barrière à l'extension urbaine et permet un recyclage de certains déchets urbains. L'AU a pour particularité d'être à cheval entre des politiques rurales et urbaines, d'où un délaissement ce cette activité au secteur informel. Ce qui a développé de nombreuses stratégies à risques, comme à Dakar, où les petits producteurs périurbains irriguent quotidiennement avec des eaux usées domestiques par manque d'accès à une eau de bonne qualité et pour raccourcir les cycles de production. L'extrême précarité foncière des acteurs de l'AU de Dakar les empêchent d'investir à long terme et induit des pratiques inadéquates d'irrigation, d'usage de pesticides et de fertilisation de ces sols sableux.L'objectif de cette recherche était de contribuer à une meilleure connaissance des processus de transfert de polluants et du cycle des nutriments à l'échelle des parcelles cultivées par des eaux usées et des eaux saumâtres, afin de déterminer sous quelles conditions l'AU de Dakar peut être pratiquée et surtout maintenue sans porter atteinte à la santé et à l'environnement. Pour cela, une approche basée sur l'étude des processus géochimiques dans le sol jusqu'à la nappe a été choisie, à l'échelle de la parcelle cultivée et à une échelle un peu plus large de la zone périurbaine de Dakar pour déterminer les influences du type d'occupation du sol.Les résultats principaux de cette étude ont montré que (1) il y a un processus de salinisation anthropique des sols (sodisation) lors d'irrigation avec des eaux de nappe saumâtres, un processus accentué en saison sèche et lors d'années à pluviométrie déficitaire. Bien que les eaux usées soient aussi salines que les eaux de nappe, la salinisation des sols irrigués' par des eaux usées est limitée par l'ammonium présent dans les eaux usées (moy 190mg NH4/L à Pikine) qui produit de l'acidité lors de la transformation en nitrates dans le sol (nitrification). (2) les sols irrigués par des eaux usées (EU) stockent moins de C et Ν que les sois de référence, ce qui montrent bien que l'azote des eaux usées n'est pas disponible pour les plantes, mais est lessivé dans la nappe (100 à 450 mg/L N03 sous irrigation par EU, alors que la limite de OMS est de 50mg/L). (3) l'utilisation des isotopes stables des nitrates et des éléments traces, notamment le bore et le brome, ont permis de distinguer l'influence de l'irrigation par des eaux usées, de l'irrigation par des eaux de nappe et des lixiviats de fosses septiques sur les propriétés de la nappe. (4) Le processus de la dénitrification (atténuation naturelle des concentrations en nitrates de la nappe par biotransformation en azote gazeux) est important dans les zones basses de l'agrosystème périurbain de Dakar, sous irrigation par eaux naturelles (ΝΟ3 < 50mg/L). Tandis que sous habitat sans assainissement adéquat, les nitrates atteignent 300 à 700 mg/L. (5) Le flux total de pesticides dans l'AU est énorme (60kg/ha/an) totalisant 15 pesticides, dont deux seulement sont autorisés. Les pesticides les plus utilisés sont des insecticides organophosphorés et organochlorés classés extrêmement dangereux à dangereux par l'OMS, appliqués à des doses de 2 à 9 kg/ha/an. Les pesticides qui ont montré un risque élevé de contamination des eaux souterraines avec les indicateurs SIRIS et EPRIP2 sont : le carbofuran, le dimethoate, l'ethoprophos et le methomyl.En conclusion, nous recommandons la reconstitution d'un horizon superficiel des sols riche en matière organique stable et structuré par production locale de compost. Cette mesure réduira les pertes gazeuses contribuant à l'effet de serre, augmentera le stock de Ν dans ces sols, alors utilisable par les plantes et permettra de diminuer l'irrigation car la capacité de rétention de l'eau dans le sol sera accru, ce qui limitera le lessivage des nitrates dans la nappe et l'alcalinisation secondaire. Enfin, la mise en place d'une lutte intégrée ou biologique contre les ravageurs est indispensable afin de minimiser les risques pour les eaux souterraines et lesmares permanentes.

Quantum critical effects in mean-field glassy systems

We consider the effects of quantum fluctuations in mean-field quantum spin-glass models with pairwise interactions. We examine the nature of the quantum glass transition at zero temperature in a transverse field. In models (such as the random orthogonal model) where the classical phase transition is discontinuous an analysis using the static approximation reveals that the transition becomes continuous at zero temperature.

Evidence of aging in spin glass mean-field models

We study numerically the out-of-equilibrium dynamics of the hypercubic cell spin glass in high dimensionalities. We obtain evidence of aging effects qualitatively similar both to experiments and to simulations of low-dimensional models. This suggests that the Sherrington-Kirkpatrick model as well as other mean-field finite connectivity lattices can be used to study these effects analytically.

Optimization of Soil Stabilization with Class C Fly Ash, January 1987

Previous Iowa DOT sponsored research has shown that some Class C fly ashes are ementitious (because calcium is combined as calcium aluminates) while other Class C ashes containing similar amounts of elemental calcium are not (1). Fly ashes from modern power plants in Iowa contain significant amounts of calcium in their glassy phases, regardless of their cementitious properties. The present research was based on these findings and on the hyphothesis that: attack of the amorphous phase of high calcium fly ash could be initiated with trace additives, thus making calcium available for formation of useful calcium-silicate cements. Phase I research was devoted to finding potential additives through a screening process; the likely chemicals were tested with fly ashes representative of the cementitious and non-cementitious ashes available in the state. Ammonium phosphate, a fertilizer, was found to produce 3,600 psi cement with cementitious Neal #4 fly ash; this strength is roughly equivalent to that of portland cement, but at about one-third the cost. Neal #2 fly ash, a slightly cementitious Class C, was found to respond best with ammonium nitrate; through the additive, a near-zero strength material was transformed into a 1,200 psi cement. The second research phase was directed to optimimizing trace additive concentrations, defining the behavior of the resulting cements, evaluating more comprehensively the fly ashes available in Iowa, and explaining the cement formation mechanisms of the most promising trace additives. X-ray diffraction data demonstrate that both amorphous and crystalline hydrates of chemically enhanced fly ash differ from those of unaltered fly ash hydrates. Calciumaluminum- silicate hydrates were formed, rather than the expected (and hypothesized) calcium-silicate hydrates. These new reaction products explain the observed strength enhancement. The final phase concentrated on laboratory application of the chemically-enhanced fly ash cements to road base stabilization. Emphasis was placed on use of marginal aggregates, such as limestone crusher fines and unprocessed blow sand. The nature of the chemically modified fly ash cements led to an evaluation of fine grained soil stabilization where a wide range of materials, defined by plasticity index, could be stabilized. Parameters used for evaluation included strength, compaction requirements, set time, and frost resistance.

Artificial-Intelligence-Based Optimization of the Management of Snow Removal Assets and Resources Final Report, October 2002

Geographic information systems (GIS) and artificial intelligence (AI) techniques were used to develop an intelligent snow removal asset management system (SRAMS). The system has been evaluated through a case study examining snow removal from the roads in Black Hawk County, Iowa, for which the Iowa Department of Transportation (Iowa DOT) is responsible. The SRAMS is comprised of an expert system that contains the logical rules and expertise of the Iowa DOT’s snow removal experts in Black Hawk County, and a geographic information system to access and manage road data. The system is implemented on a mid-range PC by integrating MapObjects 2.1 (a GIS package), Visual Rule Studio 2.2 (an AI shell), and Visual Basic 6.0 (a programming tool). The system could efficiently be used to generate prioritized snowplowing routes in visual format, to optimize the allocation of assets for plowing, and to track materials (e.g., salt and sand). A test of the system reveals an improvement in snowplowing time by 1.9 percent for moderate snowfall and 9.7 percent for snowstorm conditions over the current manual system.

The aggregate claims distribution of a life insurance portfolio with a pairwise positive dependence structure

The individual life model has always been considered as the one closest to the real situation of the total claims of a life insurance portfolio. It only makes the ¿nearly inevitable assumption¿ of independence of the lifelenghts of insured persons in the portfolio. Many clinical studies, however, have demonstrated positive dependence of paired lives such as husband and wife. In our opinion, it won¿t be unrealistic expecting a considerable number of married couples in any life insurance portfolio (e.g. life insurance contracts formalized at the time of signing a mortatge) and these dependences materially increase the values for the stop-loss premiums associated to the aggregate claims of the portfolio. Since the stop-loss order is the order followed by any risk averse decison maker, the simplifying hypothesis of independence constitute a real financial danger for the company, in the sense that most of their decisions are based on the aggregated claims distribution. In this paper, we will determine approximations for the distribution of the aggregate claims of a life insurance portfolio with some married couples and we will describe how to make safe decisions when we don¿t know exactly the dependence structure between the risks in each couple. Results in this paper are partly based on results in Dhaene and Goovaerts (1997)

The relationship of capitalization period length with market portfolio composition and betas

Beta coefficients are not stable if we modify the observation periods of the returns. The market portfolio composition also varies, whereas changes in the betas are the same, whether they are calculated as regression coefficients or as a ratio of the risk premiums. The instantaneous beta, obtained when the capitalization frequency approaches infinity, may be a useful tool in portfolio selection.