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Abstract: We present a new approach for deriving structure-preserving numerical discretizations of Fokker-Planck equations by establishing a connection between the Fokker-Planck equation and its semi-discrete master equation at the level of the energy-dissipation law. We determine the transition rate in the master equation via the detailed balance condition and the spatial discretization of the continuous […] |
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The classical Siegel's lemma (1929) asserts the existence of a nontrivial integer solution to an underdetermined integer homogeneous linear system, whose "size" is small as compared to the size of the coefficients of the system. Far-reaching generalizations of this theorem, producing a full basis for the solution space, were obtained over number fields by Bombieri […] |
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CCMS Colloquium invites you to a talk by Lihong Zhao (Kennesaw State University) Title: Capturing heterogeneity in malaria transmission: an age-structured model with immune feedback and seasonality Abstract: Malaria remains a major global health burden, causing more than 600,000 deaths and over 249 million cases globally each year. Heterogeneity in malaria transmission is a critical factor that […] |
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This GEMS session will be facilitated by Robbie Tran from Claremont Graduate University. Title: Formulating Equations as a Medium for Digital Art and Design Abstract: As we can utilize letters and words to write out mathematics (e.g. 2+2=4 can be written as “two plus two is equal to four”), this session seeks to explore the […] |
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Abstract: The Shapley value is a ubiquitous framework for attribution in machine learning, encompassing feature importance, data valuation, and causal inference. However, its exact computation is generally intractable, necessitating efficient approximation methods. While the most effective and popular estimators leverage the paired sampling heuristic to reduce estimation error, the theoretical mechanism driving this improvement has […] |
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Hecke algebras play a central role in both number theory and representation theory. While some Hecke algebras have explicit descriptions in terms of generators and relations, others are understood through structure constants that encode multiplicities in tensor products of representations. In this talk, I will discuss several projects with Thibaud van den Hove and Jakob […] |
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No lecture today. Quantitative and Computing Lab (QCL) Math Club Pi Day celebration at Claremont McKenna College at Kravis Lower Court from 11am to 12:30pm. |
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Abstract: This talk presents a regularity criterion for the three-dimensional Navier–Stokes equations based on finitely many observations of the flow. Motivated by data assimilation, we study a nudging algorithm that incorporates coarse spatial measurements through general interpolation operators. We show that suitable conditions on the observed data guarantee global regularity of the associated system and […] |
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A key problem in computer proofs based on solutions from copositive optimization, is checking whether or not a given quadratic form is completely positive or not. In this talk we describe the first known algorithm for arbitrary rational input. It is based on a suitable adaption of Voronoi's Algorithm and the underlying theory from positive definite […]
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Abstract: We study metrics on completely positive maps, and in particular on quantum channels, induced by seminorms from noncommutative geometry. Using an infinite-dimensional analogue of the Choi–Jamiołkowski correspondence, we construct such metrics and show that, under suitable assumptions, they satisfy stability and chaining. I will present the main ideas and explain how spectral triples and […] |
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Abstract: In this talk, we will describe a well/ill-posedness result for the 2D incompressible Euler equations. We investigate solutions in a setting logarithmically smoother than previously done, in a hope to identify the key dynamics leading to a breakdown of regularity in 2D fluid flow. When order of the logarithmic derivative is sufficiently large one […] |
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A low autocorrelation binary sequence of length $\ell$ is an $\ell$-tuple of $+1$s and $-1$s that does not strongly resemble any translate of itself. Such sequences are used in communications and remote sensing for synchronization and ranging, where translation represents time delay. A single number that indicates how good a sequence is for such purposes, […] |
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CCMS Colloquium invites you to a talk by Puttipong Pongtanapaisan (Pitzer) Title: Derivatives and the Shape of Graphs Abstract: Reading the title of this talk, perhaps you think you are […] |
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This GEMS session will be facilitated by Evan Rosenman from Claremont McKenna College Title: Fair Votes? The Mathematics of Elections and Redistricting Abstract: How do we know if an election is fair? In this interactive session, we’ll explore how math helps us answer that question. Students will experiment with drawing voting districts to see how drawing different […] |
