Results 91 to 100 of about 7,186 (267)
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
The geometry of independence tree models with hidden variables [PDF]
, 2010 In this paper we investigate the geometry of undirected discrete graphical models of trees when all the variables in the system are binary, where leaves represent the observable variables and where the inner nodes are unobserved.
Zwiernik, Piotr, Smith, J. Q.
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Gluing techniques in triangular geometry [PDF]
, 2007 ISSN:0033 ...
Balmer, Paul, Favi, Giordano
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The SIR Model in a Moving Population: Propagation of Infection and Herd Immunity
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT In a collection of particles performing independent random walks on Zd$\mathbb {Z}^d$ we study the spread of an infection with SIR dynamics. Susceptible particles become infected when they meet an infected particle. Infected particles heal and are removed at rate ν$\nu$.
Duncan Dauvergne, Allan Sly
wiley +1 more source
Introduction to Derived Algebraic Geometry [PDF]
openDerived Algebraic Geometry arises from the interplay between classical algebraic geometry, homotopy theory, and higher category theory. Building on the work of Grothendieck, Verdier, and Illusie, the theory developed through Quillen’s homotopical ...
DE PIERI, JACOPO
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Shape theory and mathematical design of a general geometric kernel through regular stratified objects [PDF]
, 2000 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This dissertation focuses on the mathematical design of a unified shape kernel for geometric computing, with possible applications to computer aided design (
Gomes, Abel Joao Padrao
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Lectures on Algebraic Geometry I [PDF]
, 2011 This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed.
Günter Harder, Harder, Gunter
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Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
The “projective spirit” in Segre’s lectures on differential equations. [PDF]
, 2022 The “projective spirit” was undoubtedly a characteristic of Italian research in mathematics in the period 1860-1940, which pervades the successful researches of Luigi Cremona in projective geometry and Corrado Segre, Guido Castelnuovo, Federigo Enriques ...
Rogora
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