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We consider perhaps the simplest non-trivial problem in advection–diffusion – a finite absorber of arbitrary cross-section in a steady two-dimensional potential flow of concentrated fluid. This proble...
We give a model theoretic proof that if there is a counterexample to Vaught’s conjecture there is a counterexample such that every model of cardinality ℵ1 is maximal (strengthening a result of ...
From shuffling cards to walking around the building:An Inetroduction to modern markov chain theory。
Abstract: We investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove the global-...
We show that integrable involutive maps, due to the fact they admit three integrals in separated form, can give rise to equations which are consistent around the cube and which are not in the multiaf...
We determine the graded composition multiplicity in the symmetric algebra S•(V ) of the natural GLn(q)-module V , or equivalently in the coinvariant algebra of V ,for a large class of irreducibl...
In this paper, we are interested in the Lp-estimates of the Boltzmann equation in the case that the distribution function stays around a travelling local Maxwellian. For this, we divide both sides of ...
We prove the Poisson geometric version of the Local Reeb Stability (from foliation theory) and of the Slice Theorem (from equivariant geometry),which is also a generalization of Conn’s linearization t...
We study the dynamics of order flows around large intraday price changes using ultra-high-frequency data from the Shenzhen Stock Exchange. We find a significant reversal of price for both intraday pri...

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