2期

最新文章

• Big polynomial rings and Stillman's conjecture AI翻译
  作者：Erman, Daniel; Sam, Steven V.; Snowden, Andrew
  作者单位：University of Wisconsin System; University of Wisconsin Madison; University of California System; University of California San Diego; University of Michigan System; University of Michigan
• Simple groups separated by finiteness properties AI翻译
  作者：Skipper, Rachel; Witzel, Stefan; Zaremsky, Matthew C. B.
  作者单位：University of Gottingen; University of Bielefeld; State University of New York (SUNY) System; University at Albany, SUNY
  摘要：We show that for every positive integer n there exists a simple group that is of type Fn-1 but not of type Fn. For n3 these groups are the first known examples of this kind. They also provide infinitely many quasi-isometry classes of finitely presented simple groups. The only previously known infinite family of such classes, due to Caprace-Remy, consists of non-affine Kac-Moody groups over finite fields. Our examples arise from Rover-Nekrashevych groups, and contain free abelian groups of infi...
• Random walks on homogeneous spaces and Diophantine approximation on fractals AI翻译
  作者：Simmons, David; Weiss, Barak
  作者单位：University of York - UK; Tel Aviv University
  摘要：We extend results of Y. Benoist and J.-F. Quint concerning random walks on homogeneous spaces of simple Lie groups to the case where the measure defining the random walk generates a semigroup which is not necessarily Zariski dense, but satisfies some expansion properties for the adjoint action. Using these dynamical results, we study Diophantine properties of typical points on some self-similar fractals in R-d. As examples, we show that for any self-similar fractal K subset of R-d satisfying t...
• Logarithmic improvements in Lp bounds for eigenfunctions at the critical exponent in the presence of nonpositive curvature AI翻译
  作者：Blair, Matthew D.; Sogge, Christopher D.
  作者单位：University of New Mexico; Johns Hopkins University
  摘要：We consider the problem of proving Lp bounds for eigenfunctions of the Laplacian in the high frequency limit in the presence of nonpositive curvature and more generally, manifolds without conjugate points. In particular, we prove estimates at the critical exponent pc=2(d+1)d-1, where a spectrum of scenarios for phase space concentration must be ruled out. Our work establishes a gain of an inverse power of the logarithm of the frequency in the bounds relative to the classical Lp bounds of the s...
• Multi-particle diffusion limited aggregation AI翻译
  作者：Sidoravicius, Vladas; Stauffer, Alexandre
  作者单位：New York University; NYU Shanghai; University of Bath; Roma Tre University
  摘要：We consider a stochastic aggregation model on Z(d). Start with particles distributed according to the product Bernoulli measure with parameter mu. In addition, start with an aggregate at the origin. Non-aggregated particles move as continuous-time simple random walks obeying the exclusion rule, whereas aggregated particles do not move. The aggregate grows by attaching particles to its surface whenever a particle attempts to jump onto it. This evolution is called multi-particle diffusion limite...
• Quantum link homology via trace functor I AI翻译
  作者：Beliakova, Anna; Putyra, Krzysztof K.; Wehrli, Stephan M.
  作者单位：University of Zurich; Syracuse University
  摘要：Motivated by topology, we develop a general theory of traces and shadows for an endobicategory, which is a pair: bicategory and endobifunctor . For a graded linear bicategory and a fixed invertible parameter q, we quantize this theory by using the endofunctor sigma q such that sigma q:=q-deg sigma for any 2-morphism and coincides with sigma otherwise. Applying the quantized trace to the bicategory of Chen-Khovanov bimodules we get a new triply graded link homology theory called quantum annular...
• Unicity for representations of the Kauffman bracket skein algebra AI翻译
  作者：Frohman, Charles; Kania-Bartoszynska, Joanna; Le, Thang
  作者单位：University of Iowa; National Science Foundation (NSF); University System of Georgia; Georgia Institute of Technology
  摘要：This paper resolves the unicity conjecture of Bonahon and Wong for the Kauffman bracket skein algebras of all oriented finite type surfaces at all roots of unity. The proof is a consequence of a general unicity theorem that says that the irreducible representations of a prime affine k-algebra over an algebraically closed field k, that is finitely generated as a module over its center, are generically classified by their central characters. The center of the Kauffman bracket skein algebra of an...
• Generic family with robustly infinitely many sinks (vol 205, pg 121, 2016) AI翻译
  作者：Berger, Pierre
  作者单位：Universite Paris 13
• Equivalent descriptions of the loewner energy AI翻译
  作者：Wang, Yilin
  作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich
  摘要：Loewner's equation provides a way to encode a simply connected domain or equivalently its uniformizing conformal map via a real-valued driving function of its boundary. The first main result of the present paper is that the Dirichlet energy of this driving function (also known as the Loewner energy) is equal to the Dirichlet energy of the log-derivative of the (appropriately defined) uniformizing conformal map. This description of the Loewner energy then enables to tie direct links with regula...
• The derivation of the T3 energy-critical NLS from quantum many-body dynamics AI翻译
  作者：Chen, Xuwen; Holmer, Justin
  作者单位：University of Rochester; Brown University
  摘要：We derive the 3D energy critical quintic NLS from quantum many-body dynamics with 3-body interaction in the T3 (periodic) setting. Due to the known complexity of the energy critical setting, previous progress was limited in comparison to the 2-body interaction case yielding energy subcritical cubic NLS. Previously, the only result for the 3D energy critical case was Hong et al. (J Funct Anal 270(1):34-67, 2016), which proved the uniqueness part of the argument in the case of small solutions. I...