Steve Lalley: Recent Papers

Steven P. Lalley: Recent Papers

with Si Tang Occupation densities of ensembles of branching random walks Electronic Communications in Probability 25 (2020) paper #12, 1 - 13.
with Jayadev Athreya, Jenya Sapir, and Matthew Wroten Local geometry of random geodesics on negatively curved surfaces
with Wei Su Contact processes on random regular graphs. Annals of Applied Probability 27 (2017), no. 4, 2061-2097.
with E. Glen Weyl Nash equilibria for a quadratic voting game.
with Yuan Shao Maximal displacement of critical branching symmetric stable processes. Annales de l'Institut Henri Poincare Probabilites et Statistiques 52 (2016), no. 3, 1161–1177.
with Harry Crane Exchangeable Markov processes on [k]^N with cadlag sample paths Journal of Theoretical Probability 29 (2016), no. 1, 206–230
with Bowei Zheng Critical branching Brownian motion with killing. Electronic Journal of Probability Vol 20 (2015), Article 118
with Piet Groeneboom and Nico Temme Chernoff's distribution and differential equations of parabolic and Airy type Journal of Mathematical Analysis and Applications vol. 423 (2015), no. 2, 1804–1824.
with Yuan Shao On the maximal displacement of a critical branching random walk Probability Theory and Related Fields 162 (2015), no. 1-2, pp. 71–96.
with Edwin Perkins and Xinghua Zheng A phase transition for measure-valued SIR epidemic processes Annals of Probability Vol. 42 (2014) No. 1 pp. 237-310
Statistical regularities of self-intersection counts for geodesics on negatively curved surfaces Duke Mathematics Journal Vol. 163 (2014) No. 6 pp. 1191–1261
with Sebastien Gouezel Random walk on a co-compact Fuchsian group Annales Scientifiques de l'Ecole Normale Superieure vol. 46 (2013) fasc. 1 pp. 1-46
with Harry Crane Convergence rates of Markov chains on spaces of partitions Electronic Journal of Probability vol. 18 (2013) no. 61 pp. 1-23.
with Moira Chas Self-intersections in combinatorial topology: statistical structure Inventiones Mathematicae Vol. 188 (2012), 429–463
with Xinghua Zheng Occupation statistics of critical branching random walks Annals of Probability Vol. 39 (2011), No. 1, 327–368
with Xinghua Zheng Spatial epidemics and local times for critical branching random walks in dimensions 2 and 3 Probability Theory and Related Fields Vol. 148 (2010), No. 3-4, 527–566
Spatial epidemics: Critical behavior in one dimension Probability Theory and Related Fields, Vol. 144 (2009), Nos. 3--4, 429--469
with Gregory F. Lawler and Hariharan Narayanan Geometric interpretation of half-plane capacity Electronic Communications in Probability Vol. 14 (2009), 566-571
Random walk on a surface group: behavior of the Green's function at the spectral radius revised April 10, 2008 superceded by paper with Sebastien Gouezel
The weak/strong survival transition on trees and nonamenable graphs Proceedings of the International Congress of Mathematicians, Madrid, Spain, 2006
with Andrew Nobel Denoising deterministic time series Dynamics of PDE, Vol.3 (2006), No.4, 259--279
with G. Kordzakhia Ergodicity and mixing properties of the northeast model J. Applied Probability 43 (2006) 782-792
with R. G. Dolgoarshinnykh Critical scaling for the simple SIS stochastic epidemic J. Applied Probability 43 (2006) 892-898
with G. Kordzakhia An oriented competition model on Z_{+}^2 Electron. Commun. Probab. 13 (2008), 548--561.
with M. Coram Consistency of Bayes estimators of a binary regression functionAnnals of Statistics 34 (2006) 1233-1269
with G. Kordzakhia A two-species competition model Stochastic Processes and their Applications 115 (2005) 781-796
with Andrew Nobel Indistinguishability of absolutely continuous and singular distributions Statist. Probab. Lett. 62 (2003), no. 2, 145--154
Strict convexity of the limit shape in first-passage percolation Electronic Communications in Probability 8 (2003) 135--141
Algebraic systems of generating functions and return probabilities for random walks Dynamics and randomness II, 81–122, Nonlinear Phenom. Complex Systems, 10, Kluwer Acad. Publ., Dordrecht, 2004.<
Random Walks on infinite free products and infinite algebraic systems of generating functions superceded by this paper
with T. Sellke Anisotropic contact processes on homogeneous trees Stochastic Process. Appl. 101 (2002), no. 2, 163--183
with T. Sellke The weak survival/strong survival phase transition for the contact process on a homogeneous tree Bulletin of the Brazilian Mathematical Society (N.S.) 33 (2002), no. 3, 341--350
Random walks on regular languages In Algebraic Methods in Statistics and Probability (Notre Dame, IN, 2000), 201--230, Contemp. Math., 287, Amer. Math. Soc., Providence, RI, 2001.
Percolation clusters in hyperbolic tessellations. Geometric and Functional Analysis 11 (2001) 971--1030
Removing the Noise from Chaos Plus Noise. Nonlinear dynamics and statistics (Cambridge, 1998), 233--244
On the rate of mixing for p-shuffles. Annals of Applied Probability 10 (2000), no. 4, 1302--1321
with T. Sellke An extension of Hawkes' theorem on the Hausdorff dimension of a Galton-Watson tree Probability Theory and Related Fields 116 Issue 1 (2000) pp 41-56.
with I. Hueter Anisotropic branching random walks on homogeneous trees Probability Theory and Related Fields 116 Issue 1 (2000) pp 57-88.
Beneath the noise, chaos. Annals of Statistics 27 (1999), no. 2, 461--479
Riffle shuffles and their associated dynamical systems Journal of Theoretical Probability 12 (1999), no. 4, 903--932
Growth profile and invariant measures for the weakly supercritical contact process on a homogeneous tree Annals of Probability 27 (1999), no. 1, 206--225
Correction to Growth profile and invariant measures for the weakly supercritical contact process on a homogeneous tree. Annals of Probability 30 (2002) 2108-2112
Random series in powers of algebraic integers: Hausdorff dimension of the limit distribution J. London Math. Soc. (2) 57 (1998), no. 3, 629--654.
Percolation on Fuchsian groups Annales de l'Institut Henri Poincare Probabilites et Statistiques 34 (1998), no. 2, 151--177
with T. Sellke Limit set of a weakly supercritical contact process on a homogeneous tree Annals of Probability 26 (1998), no. 2, 644--657
Beta expansions with deleted digits for Pisot numbers beta Transactions of the American Mathematical Society 349 (1997), no. 11, 4355--4365
with T. Sellke Hyperbolic branching Brownian motion Probability Theory and Related Fields 108 (1997), no. 2, 171--192

Selected Older Papers

Cycle structure of riffle shuffles Annals of Probability 24 (1996) 49-73.
Return probabilities for random walk on a half-line J. Theoret. Probab. 8 (1995) 571--599.
Finite range random walk on free groups and homogeneous trees.Ann. Probab. 21 (1993), no. 4, 2087--2130.
with I. Hueter Falconer's formula for the Hausdorff dimension of a self-affine set in R2. Ergodic Theory Dynam. Systems 15 (1995), no. 1, 77--97.
with D. Gatzouras Hausdorff and box dimensions of certain self-affine fractals. Indiana Univ. Math. J. 41 (1992), no. 2, 533--568
The packing and covering functions of some self-similar fractals. Indiana Univ. Math. J. 37 (1988), no. 3, 699--710.
Self-intersections of closed geodesics on a negatively curved surface: statistical regularities Convergence in ergodic theory and probability (1996) 263--272
Mostow rigidity and the Bishop-Steger dichotomy for surfaces of variable negative curvature Duke J. Math. 68 (1992) 237--269
Renewal theorems in symbolic dynamics, with applications to geodesic flows, non-Euclidean tessellations and their fractal limits. Acta Math. 163 (1989), no. 1-2, 1--55.
Closed geodesics in homology classes on surfaces of variable negative curvature Duke Math. J. Volume 58, Number 3 (1989), 795-821.
Distribution of periodic orbits of symbolic and Axiom A flows. Adv. in Appl. Math. 8 (1987), no. 2, 154--193.
with T. Sellke A conditional limit theorem for the frontier of a branching Brownian motion. Ann. Probab. 15 (1987), no. 3, 1052--1061.
Regenerative representation for one-dimensional Gibbs states Ann. Probab. 14 (1986), no. 4, 1262--1271.
Renewal theorem for a class of stationary sequences. Probab. Theory Relat. Fields 72 (1986), no. 2, 195--213.
Ruelle's Perron-Frobenius theorem and the central limit theorem for additive functionals of one-dimensional Gibbs states. IMS Lecture Notes-Monograph Series, Vol. 8, "Adaptive Statistical Procedures and Related Topics" (1986)