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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Weak multisymplectic spectral integrators with a resolution of Gibbs phenomenon
吉布斯现象 分辨率 弱多辛谱 积分器
2023/4/28
We will report our recent work on weak multisymplectic spectral integrators for a wide range of nonsmooth Hamiltonian partial differential equations, which appear in quite a few physical applications ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: Explicit solution to the Riemann-Hilbert problem and integrability of the isomonodromy equation
斯托克斯现象 等单向变形方程 黎曼-希尔伯特问题 显式解 单场方程 可积性
2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: An introduction
斯托克斯现象 等单向变形方程 斯托克斯矩阵
2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations in random interlacements IV: the entropic repulsion phenomenon and other types of large deviations
随机交错 大偏差 熵斥力现象 大偏差
2023/5/8
In this lecture, I will talk about how to control the deviation of the occupation-time profile conditioned on disconnection so that this conditioning makes the model exhibit a phenomenon generally kno...
Overshoot in biological systems modeled by Markov chains: a nonequilibrium dynamic phenomenon
Overshoot adaptation Markov chains net flux oscillation nonequilibrium
2016/1/26
A number of biological systems can be modeled by Markov chains. Recently, there has been an increasing concern about when biological systems modeled by Markov chains will perform a dynamic phenomenon ...
Overshoot in biological systems modeled by Markov chains:a nonequilibrium dynamic phenomenon
Overshoot adaptation Markov chains net flux oscillation nonequilibrium
2016/1/20
A number of biological systems can be modeled by Markov chains. Recently, there has been an increasing concern about when biological systems modeled by Markov chains will perform a dynamic phenomenon ...
The cutoff phenomenon for ergodic Markov processes
Cutoff phenomenon ergodic Markov semigroups
2015/8/26
We consider the cutoff phenomenon in the context of families of ergodic Markov transition
functions. This includes classical examples such as families of ergodic finite Markov chains
and Brownian mo...
The cutoff phenomenon in finite Markov chains。
A Cohen-Lenstra phenomenon for elliptic curves
A Cohen-Lenstra phenomenon elliptic curves Number Theory
2012/6/29
Given an elliptic curve $E$ and a finite Abelian group $G$, we consider the problem of counting the number of primes $p$ for which the group of points modulo $p$ is isomorphic to $G$. Under a certain ...
A'Campo curvature bumps and the Dirac phenomenon near a singular point
Curve-germs Curvature Newton-Puiseux In nitesimals Dirac phenomenon
2012/6/19
The level curves of an analytic function germ almost always have bumps at unexpected points near the singularity. This profound discovery of N. A'Campo is fully explored in this paper for $f(z,w)\in \...
The Linnik phenomenon concerning the repelling effect of Siegel's zeros is extended to L-functions in a family wider than hitherto considered.
The Small-Community Phenomenon in Networks
The Small-Community Phenomenon Probability Networks
2011/9/22
Abstract: We investigate several geometric models of network which simultaneously have some nice global properties, that the small diameter property, the small-community phenomenon, which is defined t...
Exponential self similar solutions technique for instability phenomenon arising in double phase flow through porous medium with capillary pressure
Immiscible fluid Instability Flows in porous media
2010/9/25
The theoretical studies involved development of the differential equations which describe the instability of water by an oil-saturated rock. The basic assumption underlying the present investigation i...
Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon
Asymptotic models generation of internal waves
2011/3/1
This paper deals with the dead-water phenomenon, which occurs when a ship sails in a stratified fluid, and experiences an important drag due to waves below the surface. More gen-
erally, we study the...
Essential hyperbolicity and homoclinic bifurcations: a dichotomy phenomenon/mechanism for diffeomorphisms
Essential hyperbolicity homoclinic bifurcations dichotomy phenomenon/mechanism for diffeomorphisms
2010/11/22
We prove that any diffeomorphism of a compact manifold can be approximated in topology C1 by another diffeomorphism exhibiting a homoclinic bifurcation (a homoclinic tangency or a heterodimensional c...