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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Solving hidden number problem with lattice sieving
晶格筛分 隐数问题 格约简算法
2023/4/28
Lattice reduction algorithms have been proved to be one of the most powerful and versatile tools in public key cryptanalysis. In this talk, we primarily concentrate on lattice attacks against (EC)DSA ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Peak distributions and peak maps in lattice paths
晶格路径 峰分布 峰图
2023/4/13
Dyck paths are classical Catalan objects. The peak distribution of Dyck paths is an important topic of combinatorics, and further the representation of symmetric groups.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Random Surface, Planar Lattice Model, and Conformal Field Theory
随机曲面 平面晶格模型 共形场论
2023/4/13
Liouville quantum gravity (LQG) is a theory of random surfaces that originated from string theory. Schramm Loewner evolution (SLE) is a family of random planar curves describing scaling limits of many...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rational solutions of KP and BKP hierarchies through Toda lattice
户田晶格 KP BKP 层次结构 合理解
2023/4/27
The full Kostant-Toda lattice defined on simple Lie algebras can be viewed as finite version of KP type hierarchies. In this talk I will show you how to explicitly construct (all) rational solutions o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Algebro-geometric solutions to the Bogoyavlensky lattice 2(3) equations
博戈亚夫连斯基格2（3）方程 代数几何解 四边形曲线理论
2023/5/5
The theory of tetragonal curves is established and first applied to the study of algebro-geometric quasi-periodic solutions of discrete soliton equations. Using the zero-curvature equation and the dis...
Probe of Three-Dimensional Chiral Topological Insulators in an Optical Lattice
Three-Dimensional Chiral Topological Insulators Optical Lattice
2016/1/22
We propose a feasible experimental scheme to realize a three-dimensional chiral topological insulator with cold fermionic atoms in an optical lattice, which is characterized by an integer topological ...
The main model studied in this paper is a lattice of pendula with a nearestneighbor coupling. If the coupling isweak, then the system is near-integrable and KAM tori fill most of the phase space. For ...
ROTOR-ROUTER AGGREGATION ON THE LAYERED SQUARE LATTICE
ROTOR-ROUTER AGGREGATION LAYERED SQUARE LATTICE
2015/8/14
In rotor-router aggregation on the square lattice Z2, particles starting at the origin perform deterministic analogues of random walks until reaching an unoccupied site. The limiting shape of the clus...
Asymptotics of the solutions of the stochastic lattice wave equation
solutions stochastic lattice wave equation
2015/7/14
We consider the long time limit theorems for the solutions of a discrete wave equation with a weak stochastic forcing. The multiplicative noise conserves the energy and the momentum. We obtain a time-...
3D integrable lattice models and the Bazhanov-Stroganov model
3D integrable lattice models Bazhanov-Stroganov model
2015/3/19
Many 2D integrable lattice spin models known: Ising, XXZ, RSOS, etc.Systematic construction of solutions of Y-B equations: quantum groups.Not many integrable 3D models: almost all generalizations of Z...
Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice
Statistical Mechanics Random Matrices Orthogonal Polynomials Asymptotics Riemann-Hilbert Problems
2015/1/19
In this dissertation the partition function, $Z_n$, for the six-vertex model with domain wall boundary conditions is solved in the thermodynamic limit in various regions of the phase diagram. In the f...
Finite lattice distortion patterns in plastically deformed zircon grains
Limit deformation mode the grains high temperature and natural shear zone the Alps MaYan
2015/1/6
This study examines finite deformation patterns of zircon grains from high-temperature natural shear zones. Various zircon-bearing rocks were collected in the Western Tauern Window, eastern Alps, wher...
I discuss the progress in the use of analytic techniques for low energy QCD, in particular as applied to kaon physics. These methods are becoming increasingly powerful and we have gained a good deal o...
Revealing the superfluid–Mott-insulator transition in an optical lattice
Numerical solution of single particle the density matrix ultracold atomic optical lattice parabola mott insulator
2014/12/22
We study (by an exact numerical scheme) the single-particle density matrix of ～103 ultracold atoms in an optical lattice with a parabolic confining potential. Our simulation is directly relevant to th...
Commensurate Two-Component Bosons in an Optical Lattice: Ground State Phase Diagram
Bosons optical lattice superfluid quantum systems and quantum
2014/12/20
Two sorts of bosons in an optical lattice at commensurate filling factors can form five stable superfluid and insulating ground states with rich and nontrivial phase diagram. The structure of the grou...