Mathematics and Statistics
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URI: http://hdl.handle.net/2144/998
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: 617-353-2560
Fax: 617-353-8100
Website: www.bu.edu/math/
All materials in OpenBU are subject to Title 17 of the U.S. Code.
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Perturbation detection through modeling of gene expression on a latent biological pathway network: a Bayesian hierarchical approach
(Taylor & Francis, 2016)Cellular response to a perturbation is the result of a dynamic system of biological variables linked in a complex network. A major challenge in drug and disease studies is identifying the key factors of a biological network ... -
Calibrated model criticism using split predictive checks
(2022-03-29)Checking how well a fitted model explains the data is one of the most fundamental parts of a Bayesian data analysis. However, existing model checking methods suffer from trade-offs between being well-calibrated, automated, ... -
Robust, automated, and accurate black-box variational inference
(2022-03-29)Black-box variational inference (BBVI) now sees widespread use in machine learning and statistics as a fast yet flexible alternative to Markov chain Monte Carlo methods for approximate Bayesian inference. However, stochastic ... -
State space methods for phase amplitude coupling analysis
(Springer Science and Business Media LLC, 2022-09-24)Phase amplitude coupling (PAC) is thought to play a fundamental role in the dynamic coordination of brain circuits and systems. There are however growing concerns that existing methods for PAC analysis are prone to error ... -
Sevoflurane induces coherent slow-delta oscillations in rats
(Frontiers Media SA, 2017)Although general anesthetics are routinely administered to surgical patients to induce loss of consciousness, the mechanisms underlying anesthetic-induced unconsciousness are not fully understood. In rats, we characterized ... -
Broadband slow-wave modulation in posterior and anterior cortex tracks distinct states of propofol-induced unconsciousness
(Springer Science and Business Media LLC, 2020-08-13)A controversy has developed in recent years over the roles of frontal and posterior cortices in mediating consciousness and unconsciousness. Disruption of posterior cortex during sleep appears to suppress the contents of ... -
Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain
(American Mathematical Society (AMS), 2022-09-02)We describe sufficient conditions on the reaction terms and multiplicative noise terms of a stochastic reaction-diffusion equation that guarantee that the solutions never explode. Both the reaction term and multiplicative ... -
Mirror symmetry for quiver algebroid stacks
In this paper, we construct noncommutative algebroid stacks and the associated mirror functors for a symplectic manifold. First, we formulate a version of stack that is well adapted for gluing quiver algebras with different ... -
Quantum finite automata and quiver algebras
(MDPI, 2022-12-14)
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