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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Singleton mesh patterns in multidimensional permutations
多维排列 Singleton网格模式 排列模式
2023/11/13
Permutation patterns is a popular area of research introduced in 1968, but with roots going to the work of Leonhard Euler in 1749.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mathematics for web-like patterns of solitary in waves in shallow water
浅水波浪 孤单 网状模式
2023/4/13
I will give a review of the KP solitons based on Grassmannians. In the talk, I will also give several physical applications of KP solitons to shallow water wave phenomena, and discuss some initial val...
Wave atoms and sparsity of oscillatory patterns
Wave atoms Image processing Texture Oscillatory Warping Diffeomorphism
2015/7/14
We introduce “wave atoms” as a variant of 2D wavelet packets obeying the parabolic scaling wavelength ～ (diameter)2. We prove that warped oscillatory functions, a toy model for texture, have a signifi...
PATTERNS IN EIGENVALUES: THE 70TH JOSIAH WILLARD GIBBS LECTURE
Unitary matrix value distribution patterns telephone encryption function
2015/7/8
Typical large unitary matrices show remarkable patterns in their eigenvalue distribution. These same patterns appear in telephone encryption, the zeros of Riemann's zeta function, a variety of physics...
New mathematical theory may explain patterns in fingerprints, raisins, and microlenses
mathematical theory patterns in fingerprints raisins microlenses
2015/3/4
As a grape slowly dries and shrivels, its surface creases, ultimately taking on the wrinkled form of a raisin. Similar patterns can be found on the surfaces of other dried materials, as well as in hum...
Permutations all of whose patterns of a given length are distinct
Permutations a given length distinct Combinatorics
2012/6/21
For each integer k >= 2, let F(k) denote the largest n for which there exists a permutation \sigma \in S_n, all of whose patterns of length k are distinct. We prove that F(k) = k + \lfloor \sqrt{2k-3}...
Partitions and Partial Matchings Avoiding Neighbor Patterns
set partition partial matching neighbor alignment left nesting right nesting.
2014/6/3
We obtain the generating functions for partial matchings avoiding neighbor alignments and for partial matchings avoiding neighbor alignments and left nestings. We show that there is a bijection betwee...
Expected Patterns in Permutation Classes
Expected Patterns Permutation Classes Combinatorics
2012/6/15
In the set of all patterns in $S_n$, it is clear that each k-pattern occurs equally often. If we instead restrict to the class of permutations avoiding a specific pattern, the situation quickly become...
Polymetric brick wall patterns and two-dimensional substitutions
Pseudo-self-similar tilings 2D-substitutions automatic sequences
2012/6/12
Polymetric walls are walls built from bricks in more than one size. Architects and builders want to built polymetric walls that satisfy certain structural and aesthetical constraints. In a recent pape...
Patterns of Regional Travel Behavior: An Analysis of Japanese Hotel Reservation Data
Japanese Hotel Reservation Mixture of Poisson distributions EM-algorithm Parameter Estimation
2012/4/19
This study considers the availability of room opportunities collected from a Japanese hotel booking site. We empirically analyze the daily number of room opportunities for four areas. To determine the...
The fast Fourier Transform and fast Wavelet Transform for Patterns on the Torus
wavelets lattices multivariate fast Fourier transform periodic multiresolution analysis Dirichlet wavelets
2011/9/21
Abstract: We introduce a fast Fourier Transform on regular d-dimensional lattices. We investigate properties of congruence class representants, i.e. their ordering, to classify directions and derive a...
Computation with competing patterns in Life-like automaton
discrete analog spatially logical signals Computation
2011/7/6
We study a Life-like cellular automaton rule B2=S2345 where a cell in
state `0' takes state `1' if it has exactly two neighbors in state `1' and the cell remains
in the state `1' if it has between t...
We present a family of methods, which can describe behaviour of quantum ensembles and demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoheren...
We present a family of methods, which can describe behaviour of quantum ensembles and demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoheren...
A rough sets partitioning model for incremental mining of sequential patterns in large databases
data mining incremental mining Sequential patterns
2010/9/26
Frequent sequential patterns mining finds intresting event sequences from various real world databases under study. However, most of real world databases are subject to updations with advancement of t...