# School of Mathematics

## Dr Leonid V Bogachev

Reader

Statistics

### Contact details

Room: 8.39

Tel: +44 (0)113 3434972

Email: L.V.Bogachev @ leeds.ac.uk

## Current postgraduate students

Jason Anquandah (2016)

Jacob Cancino-Romero (2016)

## Publications

**Gyarmati-Szabó J, Bogachev LV, Chen H** Nonstationary POT modelling of air pollution concentrations: Statistical analysis of the traffic and meteorological impact *Environmetrics*, **28**, 2017

DOI:10.1002/env.2449

View abstract

**Bogachev LV; Derfel G; Molchanov SA ** *Analysis of the archetypal functional equation in the non-critical case*Proceedings of the 10th AIMS Conference, 132-141 2015

DOI:10.3934/proc.2015.0132

View abstract

**Bogachev LV, Derfel G, Molchanov SA** On bounded continuous solutions of the archetypal equation with rescaling *Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*, **471**, 2015

DOI:10.1098/rspa.2015.0351

**Bogachev LV, Zeindler D** Asymptotic statistics of cycles in surrogate-spatial permutations *Communications in Mathematical Physics*, **334**, 39-116, 2015

DOI:10.1007/s00220-014-2110-1

View abstract

**Bogachev LV** Unified derivation of the limit shape for multiplicative ensembles of random
integer partitions with equiweighted parts *Random Structures and Algorithms*, **127**, 353-399, 2014

DOI:10.1002/rsa.20540

View abstract

**Bogachev LV** Limit shape of random convex polygonal lines: even more universality *Journal of Combinatorial Theory, Series A*, **127**, 353-399, 2014

DOI:10.1016/j.jcta.2014.07.005

View abstract

**Bogachev L, Daletskii A** Gibbs cluster measures on configuration spaces *Journal of Functional Analysis*, **264**, 508-550, 2013

DOI:10.1016/j.jfa.2012.11.002

View abstract

**Bogachev L, Daletskii A** Cluster point processes on manifolds *Journal of Geometry and Physics*, **63**, 45-79, 2013

DOI:10.1016/j.geomphys.2012.09.007

View abstract

**Bogachev LV, Zarbaliev SM** Universality of the limit shape of convex lattice polygonal lines *Annals of Probability*, **39**, 2271-2317, 2011

DOI:10.1214/10-AOP607

View abstract

**Makhnovskii YA, Berezhkovskii AM, Bogachev LV, Zitserman VY** Driven diffusion in a periodically compartmentalized tube: homogeneity versus intermittency of particle motion *Journal of Physical Chemistry B*, **115**, 3992-4002, 2011

DOI:10.1021/jp112393q

View abstract

**Bogachev L, Ratanov N** Occupation time distributions for the telegraph process *Stochastic Processes and their Applications*, **121**, 1816-1844, 2011

DOI:10.1016/j.spa.2011.03.016

View abstract

**Bogachev LV, Zarbaliev SM** A proof of the Vershik–Prohorov conjecture on the universality of the limit shape for a class of random polygonal lines *Doklady Mathematics*, **79**, 197-202, 2009

DOI:10.1134/S1064562409020148

**Bogachev L, Daletskii A** Poisson cluster measures: Quasi-invariance, integration by parts and equilibrium stochastic dynamics *Journal of Functional Analysis*, **256**, 432-478, 2009

DOI:10.1016/j.jfa.2008.10.009

View abstract

**Bogachev LV, Gnedin AV, Yakubovich YV** On the variance of the number of occupied boxes *ADV APPL MATH*, **40**, 401-432, 2008

DOI:10.1016/j.aam.2007.05.002

**Bogachev LV, Derfel G, Molchanov SA, Ockendon JR** On bounded solutions of the generalized pantograph equation In *Topics in Stochastic Analysis and Nonparametric Estimation. Volume in Honor of Rafail Khasminskii*, **145**, 29-50, 2008

DOI:10.1007/978-0-387-75111-5_3

View abstract

**Bogachev LV** Cities as evolutionary systems in random media In *The Dynamics of Complex Urban Systems: An Interdisciplinary Approach*, 143-162, 2007

DOI:10.1007/978-3-7908-1937-3

View abstract

**Bogachev LV, Su Z** Central limit theorem for random partitions under the Plancherel measure *Doklady Mathematics*, **75**, 381-384, 2007

DOI:10.1134/S1064562407030143

View abstract

**Bogachev LV, Su ZG** Gaussian fluctuations of Young diagrams under the Plancherel measure *P R SOC A*, **463**, 1069-1080, 2007

DOI:10.1098/rspa.2006.1808

**Bogachev LV** Extreme value theory for random exponentials In *Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov*, **42**, 41-64, 2007

View abstract

**Bogachev LV** Limit laws for norms of IID samples with Weibull tails *Journal of Theoretical Probability*, **19**, 849-873, 2006

DOI:10.1007/s10959-006-0036-z

View abstract

**Bogachev LV** Random walks in random environments In *Encyclopedia of Mathematical Physics*, **4**, 353-371, 2006

DOI:10.1016/B0-12-512666-2/09006-4

**Ben Arous G, Bogachev LV, Molchanov SA** Limit theorems for sums of random exponentials *PROBAB THEORY REL*, **132**, 579-612, 2005

DOI:10.1007/s00440-004-0406-3

**Ben Arous G, Bogachev LV, Molchanov SA** Limit laws for sums of random exponentials In *Recent Developments in Stochastic Analysis and Related Topics. (1st Sino-German Conference on Stochastic Analysis, Beijing, China, Aug 29 - Sep 03, 2002)*, 45-65, 2004

View abstract

**Bogachev LV, Yarovaya EB** On the moments of a branching random walk in a random medium *RUSS MATH SURV+*, **55**, 989-991, 2000

**Albeverio S; Bogachev LV; Yarovaya EB ** *Branching random walk with a single source*4th International Conference on Difference Equations and Applications (ICDEA 98), 9-19 2000

View abstract

**Albeverio S, Bogachev LV, Molchanov SA, Yarovaya EB** Annealed moment Lyapunov exponents for a branching random walk in a homogeneous random branching environment *Markov Processes and Related Fields*, **6**, 473-516, 2000

View abstract

**Albeverio S, Bogachev LV** Branching random walk in a catalytic medium. I. Basic equations. *Positivity*, **4**, 41-100, 2000

View abstract

**Bogachev LV, Molchanov SA, Makhnovskii YA, Berezhkovskii AM** Correlation effects in the trapping problem: general approach and rigorous results In *Stochastic Processes, Physics and Geometry: New Interplays. II: A Volume in Honor of Sergio Albeverio*, **29**, 29-42, 2000

View abstract

**Bogachev LV, Zarbaliev SM** Approximation of convex functions by random polygonal lines *Doklady Mathematics*, **59**, 46-49, 1999

View abstract

**Albeverio S, Bogachev LV** Localization vs. delocalization of random discrete measures *Theory of Probability and Its Applications*, **43**, 519-538, 1999

View abstract

**Albeverio S, Bogachev LV** Brownian survival in a clusterized trapping medium *Reviews in Mathematical Physics*, **10**, 147-189, 1998

View abstract

**Bogachev LV, Yarovaya EB** The moment analysis of a branching random walk on a lattice with a single source *Doklady Mathematics*, **58**, 403-406, 1998

View abstract

*
*© Copyright Leeds 2011