Probability and Stochastic Processes

Probability is a branch of mathematics that studies the likelihood of an event. As such, it is the language for uncertainty quantification in statistics, statistical machine learning, data analysis, quantum mechanics, and other fields. Stochastic processes, on the other hand, is a sub-field of probability that describes probabilistic systems that evolve in time. Our group at WSU works on multivariate regular/rapid variation, extreme value theory, concentration of measure and limiting laws under dependence, and stochastic differential equations with applications in mathematical biology, physics, and finance.

Chencheng Cai

https://www.math.wsu.edu/faculty/ccai chencheng.cai@wsu.edu Neill 405 Causal inference and experimental design under interference; Time series analysis; high-dimensional matrix decomposition; Monte Carlo methods. Statistics and Probability Data Analytics Probability and Stochastic Processes

Sample Publications Optimizing Randomized and Deterministic Saturation Designs under Interference KoPA: Automated Kronecker Product Approximation

Xiongzhi Chen

http://math.wsu.edu/faculty/xchen/ xiongzhi.chen@wsu.edu Neill 230 Simultaneous inference, analysis of non-Euclidean data, theoretical foundation of of deep learning models, and harmonic analysis. Applied Mathematics Statistics and Probability Data Analytics Probability and Stochastic Processes Geometry and Topology

Sample Publications Uniformly consistently estimating the proportion of false null hypotheses via Lebesgue–Stieltjes integral equations A weighted FDR procedure under discrete and heterogeneous null distributions

Daryl DeFord

http://www.math.wsu.edu/faculty/ddeford/ daryl.deford@wsu.edu Neill 328 My research focuses on applications of combinatorial and algebraic methods to the analysis of social data including political redistricting and social network analysis. Recent projects include the following with more details on Applied Mathematics Statistics and Probability Pure Mathematics Data Analytics Probability and Stochastic Processes Number Theory and Combinatorics

Sample Publications Maximum a Posteriori Inference of Random Dot Product Graphs via Conic Programming ReCombination: A family of Markov Chains for Redistricting

Alex Dimitrov

https://labs.wsu.edu/alex-dimitrov/ alex.dimitrov@wsu.edu Vanc Information-theoretic and probabilistic approaches to neural computing and cognitive processes; non-linear neuronal models; chaotic dynamical systems; non-linear signal processing and prediction; systems identification; neural-based intelligent agents. Neuromorphic computing. Applied Mathematics Mathematical Biology Data Analytics Probability and Stochastic Processes

Sample Publications Symmetry-Breaking Bifurcations of the Information Bottleneck and Related Problems. Mapping and Validating a Point Neuron Model on Intel’s Neuromorphic Hardware Loihi

Krishna Jandhyala

http://www.math.wsu.edu/faculty/jand/ jandhyala@wsu.edu Neill 407 The problem of multiple change-points in time-series with applications to environmental data. Statistics and Probability Probability and Stochastic Processes

Sample Publications

Bala Krishnamoorthy

http://www.math.wsu.edu/faculty/bkrishna/ kbala@wsu.edu Vanc Applied algebraic topology, Geometric measure theory,Mathematical aspects of 3D printing,Discrete and nonlinear optimization,Geometry and topology in physical chemistry,Computational models for surgical and biomedical applications,Computational biology. Applied Mathematics Statistics and Probability Mathematical Biology Optimization and Data Analytics Data Analytics Probability and Stochastic Processes Analysis and PDEs Geometry and Topology

Sample Publications Optimal homology and linear programming Continuous toolpath planning in 3D printing

Haijun Li

http://www.math.wsu.edu/math/faculty/lih/ liklu@wsu.edu Neill 317 Copula Theory for Multivariate Extremes, Risk and Choquet Capacities, Free Probability under Group-Invariance Statistics and Probability Pure Mathematics Mathematical Finance Probability and Stochastic Processes

Sample Publications Tail dependence functions and vine copulas Orthant tail dependence of multivariate extreme value distributions

Nikolay Strigul

http://directory.vancouver.wsu.edu/people/nikolay-strigul nick.strigul@wsu.edu Vanc Individual-based models, forest dynamics, ecotoxicology. Applied Mathematics Mathematical Biology Probability and Stochastic Processes

Sample Publications

Xueying/Snow Wang

http://www.math.wsu.edu/faculty/xueying/ xueying.wang@wsu.edu Neill 201 Integrating techniques from the fields of dynamical systems, stochastic processes and statistics to develop and analyze mathematical models. Application areas: (a) computational neuroscience; (b) infectious disease modeling; (c) population ecology. Applied Mathematics Statistics and Probability Mathematical Biology Optimization and Data Analytics Probability and Stochastic Processes Analysis and PDEs

Sample Publications A reaction-advection-diffusion model of cholera epidemics with seasonality and human behavior change Patterns of synchronization in 2D networks of inhibitory neurons

Nikos Voulgarakis

http://www.math.wsu.edu/faculty/nvoul/index.html n.voulgarakis@wsu.edu Neill 325 Nonlinear Dynamics, Stochastic Processes, Fluid Dynamics at small scales, Mathematical Biology and Biophysics Applied Mathematics Mathematical Biology Fluid and Solid Mechanics Probability and Stochastic Processes

Sample Publications Stochastic pursuit-evasion curves for foraging dynamics Emergent Criticality in Coupled Boolean Networks