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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 ...
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...
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...
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...
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 ...
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       font style='font-size:12px;'> 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     Is limited  markov chain  no interruptions       font style='font-size:12px;'> 2015/7/14
The cutoff phenomenon in finite Markov chains。
A Cohen-Lenstra phenomenon for elliptic curves     A Cohen-Lenstra phenomenon  elliptic curves  Number Theory       font style='font-size:12px;'> 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 ...
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 \...
An Extension of the Linnik Phenomenon     Siegel’s zeros  ^2-sieve  Brun–Titchmarsh theorem       font style='font-size:12px;'> 2012/4/17
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       font style='font-size:12px;'> 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...
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...
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...
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...

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