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In this talk, we will show several results for correlated nearest neighbor site percolation on Z^d. In particular, we will show that in three dimensions the strongly correlated massless harmonic cryst...
近日,地球物理著名期刊《Geophysical Research Letters》正式刊发了中国地质大学胡祥云教授团队研究成果 -“Downward continuation and transformation of total-field magnetic anomalies into magnetic gradient tensors between arbitrary surfaces u...
Most existing SAR image change detection algorithms only consider single pixel information of different images, and not consider the spatial dependencies of image pixels. So the change detection resul...
Conformal field theories represent a very active research field worldwide with many international experts working on various aspects of the topic. Progress during the past several years has led to man...
Beijing International Center for Mathematical Research (BICMR) locates on the north Shore of Weiming Lake on the campus of Peking University. Sponsored by the national government of China, BICMR is de...
The topics of the 7th Advanced Seminar in Symplectic Geometry and Topological Field Theory are 1) Givental's quantization formula and Teleman's classification of semisimple cohomological field theory;...
THE PTOLEMY FIELD OF 3-MANIFOLD-REPRESENTATIONS     Ptolemy coordinates  PTOLEMY FIELD       font style='font-size:12px;'> 2015/12/17
The Ptolemy coordinates for boundary-unipotent SL(n; C)-representations of a 3-manifold group were introduced in [7] inspired by the A-coordinates on higher Teichmuller space due to Fock and Goncha...
Inspired by the works of Rodnianski and Schlein [31] and Wu [34,35], we derive a new nonlinear Schrödinger equation that describes a second-order correction to the usual tensor product (mean-fiel...
We study the evolution of an N-body weakly interacting system of Bosons. Our work forms an extension of our previous paper Grillakis, Machedon, and Margetis (2010) [13], in which we derived a second-o...
We study stationary quantum fluctuations around a mean field limit in trapped, dilute atomic gases of repulsively interacting bosons at zero temperature. Our goal is to describe quantum-mechanically t...
Phase-field model for reconstructed stepped surface     Phase-field model  reconstructed stepped surface       font style='font-size:12px;'> 2015/10/16
We formulate a phase-field, or diffuse-interface, model for the evolution of stepped surfaces under surface diffusion in the presence of distinct material parameters across nanoscale terraces. In the ...
At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the lang...
SECOND ORDER CORRECTIONS TO MEAN FIELD EVOLUTION FOR WEAKLY INTERACTING BOSONS, I     SECOND ORDER  equation       font style='font-size:12px;'> 2015/10/15
Inspired by the works of Rodnianski and Schlein [31] and Wu [34, 35], we derive a new nonlinear Schr¨odinger equation that describes a second-order correction to the usual tensor product (mean-ʂ...
We study the evolution of a N-body weakly interacting system of Bosons. Our work forms an extension of our previous paper I [13], in which we derived a second-order correction to a mean-field e...

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