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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Defocusing NLS equation with nonzero background: Painleve asymptotics in transition region
非零背景 散焦NLS方程 过渡区 疼痛渐近
2023/5/5
We study the qualitative properties of the generalized transition fronts for the reaction diffusion equations with the spatially inhomogeneous nonlinearity of the ignition type. We show that transitio...
We develop methods for studying transition operators on metric
spaces that are invariant under a co-compact group which acts properly.
A basic requirement is a decomposition of such operators with
...
We study the qualitative properties of the generalized transition fronts for the reactiondiffusion equations with the spatially inhomogeneous nonlinearity of the ignition type. We show that transition...
Existence and Non-existence of Fisher-KPP Transition Fronts
Existence Non-existence Fisher-KPP
2015/7/14
We consider Fisher-KPP-type reaction-diffusion equations with spatially inhomogeneous reaction rates. We show that a sufficiently strong localized inhomogeneity may prevent existence of transition-fro...
Transition densities for stochastic Hodgkin-Huxley models
Hodgkin-Huxley model degenerate diffusion processes non time homogeneous diffusion processes Malliavin calculus Hormander condition
2012/7/11
We consider a stochastic Hodgkin-Huxley model driven by a periodic signal as model for the membrane potential of a pyramidal neuron. The associated five dimensional diffusion process is a time inhomog...
Localization Transition for Polymers in Poissonian Medium
Directed polymers random environment Probability
2012/6/25
We study a model of directed polymers in random environment in dimension $1+d$, given by a Brownian motion in a Poissonian potential. We study the effect of the density and the strength of inhomogenei...
A one-dimensional coagulation-fragmentation process with a dynamical phase transition
one-dimensional coagulation-fragmentation process dynamical phase transition Probability
2011/9/13
Abstract: We introduce a reversible Markovian coagulation-fragmentation process on the set of partitions of $\{1,...,L\}$ into disjoint intervals. Each interval can either split or merge with one of i...
The Phase Transition for Dyadic Tilings
dyadic rectangle tiling phase transition percolation generating function
2011/9/5
Abstract: A dyadic tile of order n is any rectangle obtained from the unit square by n successive bisections by horizontal or vertical cuts. Let each dyadic tile of order n be available with probabili...
The condensation transition in random hypergraph 2-coloring
random structures phase transitions hypergraph 2-coloring second moment method
2011/9/5
Abstract: For many random constraint satisfaction problems such as random satisfiability or random graph or hypergraph coloring, the best current estimates of the threshold for the existence of soluti...
Infinite-Period Phase Transition versus Nucleation in a Stochastic Model of Collective Oscillations
Infinite-Period Phase Transition versus Nucleation Stochastic Model Collective Oscillations
2011/7/7
A lattice model of three-state stochastic phase-coupled oscillators has been shown by Wood et al. [Phys. Rev. Lett. 96, 145701 (2006)] to exhibit a phase transition at a critical value of the coupling...
The quasi-periodic doubling cascade in the transition to weak turbulence
Transition to turbulence torus bifurcation
2011/3/3
The quasi-periodic doubling cascade is shown to occur in the transition from regular to weakly turbulent behaviour in simulations of incompressible Navier-Stokes flow on a three-periodic domain.
We study positive measures that are solutions to an abstract optimisation problem, which is a generalisation of a classical variational problem with a constraint on information of a Kullback-Leibler t...
In this paper, we generalize the usual notions of waves, fronts and propagation speeds in a very general setting. These new notions, which cover all usual situations,involve uniform limits, with respe...
We study positive measures that are solutions to an abstract optimisation problem, which is a generalisation of a classical variational problem with a constraint on information of a Kullback-Leibler t...