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  Unique contributions of parvalbumin and cholinergic interneurons in organizing striatal networks during movement 

  Gritton, Howard J.; Howe, William M.; Romano, Michael F.; DiFeliceantonio, Alexandra G.; Kramer, Mark A.; Saligrama, Venkatesh; Bucklin, Mark E.; Zemel, Dana; Han, Xue (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 ...
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  Statistics practicum: placing 'practice' at the center of data science education 

  Kolaczyk, Eric; Wright, Haviland; Yajima, Masanao (MIT Press - Journals, 2021-01-29)
• We need a (responsible!) data science rapid response network 

  Kolaczyk, Eric; Lee, Meredith M.; Liu, Jing; Parker, Micaela S. (MIT Press - Journals, 2021-01-29)
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  Toric Hall Algebras and infinite-dimensional Lie algebras 

  Szczesny, Maciej; Jun, Jaiung (2020-08)

  We associate to a projective n-dimensional toric variety X_𝛥 a pair of cocommutative (but generally non-commutative) Hopf algebras H^𝛂_X, H^T_X. These arise as Hall algebras of certain categories Coh^𝛂 (X), Coh^T (X) ...
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  iGraphMatch: tools graph matching 

  Sussman, Daniel; Qiao, Zihuan (2021-01-27)

  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 ...
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  Existence and uniqueness for the mild solution of the stochastic heat equation with non-Lipschitz drift on an unbounded spatial domain 

  Salins, M. (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. ...
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  On dynamical systems perturbed by a null-recurrent fast motion: the continuous coefficient case with independent driving noises 

  Pajor-Gyulai, Zsolt; Salins, Michael (SPRINGER/PLENUM PUBLISHERS, 2016-09-01)

  An ordinary differential equation perturbed by a null-recurrent 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 ...
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  An improved uniqueness result for a system of stochastic differential equations related to the stochastic wave equation 

  Mueller, C.; Neuman, E.; Salins, M.; Truong, G. (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 short-time uniqueness ...
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  Moderate deviations for systems of slow-fast stochastic reaction-diffusion equations 

  Gasteratos, Ioannis; Salins, Michael; Spiliopoulos, Konstantinos (2020)

  The goal of this paper is to study the Moderate Deviation Principle (MDP) for a system of stochastic reaction-diffusion equations with a time-scale separation in slow and fast components and small noise in the slow component. ...
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  Systems of small-noise stochastic reaction-diffusion equations satisfy a large deviations principle that is uniform over all initial data 

  Salins, Michael

  This paper proves three uniform large deviations results for a system of stochastic reaction--diffusion equations exposed to small multiplicative noise. If the reaction term can be written as the sum of a decreasing function ...

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