Mathematics and Statistics
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Mathematics plays a critical role in efforts to understand the nature of the physical universe and in the continuing development of technology. Emphasizing excellence in both research and teaching, the Mathematics & Statistics Department at BU offers a wide range of courses in pure and applied mathematics and statistics at the undergraduate and graduate level. The department has particularly strong groups in dynamical systems and applications, geometry/topology, mathematical physics, number theory, and probability and statistics.
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Department chair: Tasso Kaper
Campus address: 111 Cummington Street
Phone: 6173532560
Fax: 6173538100
Website: www.bu.edu/math/
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Unique contributions of parvalbumin and cholinergic interneurons in organizing striatal networks during movement
(Nature Publishing Group, 2019)Striatal pavalbumin (PV) and cholinergic (CHI) interneurons are poised to play major roles in behavior by coordinating the networks of medium spiny cells that relay motor output. However, the small numbers and scattered ... 
Statistics practicum: placing 'practice' at the center of data science education
(MIT Press  Journals, 20210129) 
We need a (responsible!) data science rapid response network
(MIT Press  Journals, 20210129) 
Toric Hall Algebras and infinitedimensional Lie algebras
(202008)We associate to a projective ndimensional toric variety X_𝛥 a pair of cocommutative (but generally noncommutative) Hopf algebras H^𝛂_X, H^T_X. These arise as Hall algebras of certain categories Coh^𝛂 (X), Coh^T (X) ... 
iGraphMatch: tools graph matching
(20210127)Graph matching methods and analysis. The package works for both 'igraph' objects and matrix objects. You provide the adjacency matrices of two graphs and some other information you might know, choose the graph matching ... 
Existence and uniqueness for the mild solution of the stochastic heat equation with nonLipschitz drift on an unbounded spatial domain
(Springer Science and Business Media LLC, 2020)We prove the existence and uniqueness of the mild solution for a nonlinear stochastic heat equation defined on an unbounded spatial domain. The nonlinearity is not assumed to be globally, or even locally, Lipschitz continuous. ... 
On dynamical systems perturbed by a nullrecurrent fast motion: the continuous coefficient case with independent driving noises
(SPRINGER/PLENUM PUBLISHERS, 20160901)An ordinary differential equation perturbed by a nullrecurrent diffusion will be considered in the case where the averaging type perturbation is strong only when a fast motion is close to the origin. The normal deviations ... 
An improved uniqueness result for a system of stochastic differential equations related to the stochastic wave equation
(2019)We improve on the strong uniqueness results of [GLM+17], which deal with the following system of SDE. dX_t = Y_t dt dY_t = X_t^𝛂 dB_t and X_0 = x_0, Y_0 = y_0. For (x_0, y_0) ≠ (0, 0), we show that shorttime uniqueness ... 
Moderate deviations for systems of slowfast stochastic reactiondiffusion equations
(2020)The goal of this paper is to study the Moderate Deviation Principle (MDP) for a system of stochastic reactiondiffusion equations with a timescale separation in slow and fast components and small noise in the slow component. ... 
Systems of smallnoise stochastic reactiondiffusion equations satisfy a large deviations principle that is uniform over all initial data
This paper proves three uniform large deviations results for a system of stochastic reactiondiffusion equations exposed to small multiplicative noise. If the reaction term can be written as the sum of a decreasing function ...