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2017南开物理、几何、数论会议（Nankai Symposium on Physics,Geometry and Number Theory 2017）（图）
2017 南开物理、几何、数论 会议
2017/4/24
南开物理、几何、数论会议将于2017.7.31-8.5在南开大学陈省身数学研究所举行。
第六届东亚数论会议将于2016年8月22日-26日在南开大学陈省身数学研究所举行。
Estimator for Number of Sources using Minimum Description Length Criterion for Blind Sparse Source Mixtures
Minimum Description Length Criterion Blind Sparse Source Mixtures
2015/9/29
In this paper I present a Minimum Description Length Estimator for number of sources in an anechoic mixture of sparse signals.The criterion is roughly equal to the sum of negative normalized maximum l...
PARALLEL CHIP-FIRING ON THE COMPLETE GRAPH;DEVIL’S STAIRCASE AND POINCARE ROTATION NUMBER
PARALLEL CHIP-FIRING COMPLETE GRAPH DEVIL’S STAIRCASE POINCARE ROTATION NUMBER
2015/8/14
We study how parallel chip-firing on the complete graph Kn changes behavior as we vary the total number of chips. Surprisingly,the activity of the system, defined as the average number of firings per ...
Non-adiabatic KPP fronts with an arbitrary Lewis number
Non-adiabatic KPP arbitrary Lewis number
2015/7/14
We establish existence of travelling fronts in thermo-diffusive systems of the KPP type in a shear flow with an arbitrary Lewis number and a positive heat-loss at the boundary. We then prove that the ...
On the number of partitions with designated summands
partition with designated summands Ramanujan type identity Ramanujan's cubic continued fraction cubic theta function
2014/6/3
Andrews, Lewis and Lovejoy introduced the partition function PD(n) as the number of partitions of n with designated summands, where we assume that among parts with equal size, exactly one is designate...
Generalized compositions with a fixed number of parts
binomial coefficients Catalan numbers compositions
2011/2/22
e investigate compositions of a positive integer with a fixed num-ber of parts, when there are several types of each natural number. These compositions produce new relationships among binomial coeffic...
The net reproductive number and bifurcation in an integro-difference system of equations
Integro-difference equations Dynamical systems
2010/9/20
A model for structured populations with a two-phase life cycle has been derived in [2], also we proved there the existence of a branch of positive equilibrium points in the positive cone. In this pape...
On the constant in Burgess' bound for the number of consecutive residues or non-residues
consecutive residues or non-residues math
2010/11/23
We give an explicit version of a result due to D. Burgess. Let $\chi$ be a non-principal Dirichlet character modulo a prime $p$. We show that the maximum number of consecutive integers for which $\ch...
A hypothetical answer to the question of when a sufficiently large number of elements confirm that the set is infinite
elements confirm the set is infinite
2010/11/23
We present a conjecture on integer arithmetic which implies that there is an algorithm that for each recursively enumerable set M \subseteq \mathbb{N} given by a Diophantine representation computes a...
Rainbow connection number, rc(G), of a connected graph G is the minimum number of colours needed to colour its edges, so that every pair of vertices is connected by at least one path in which no two e...
On the number of Galois points for a plane curve in positive characteristic, IV
Galois points positive characteristic
2010/11/22
Let $C$ be a smooth plane curve of degree $d$. A point $P$ in the projective plane is said to be Galois with respect to $C$ if the function field extension induced from the point projection from $P$ ...
In this article, we first state some relations about the number of partitions of a set under some particular conditions and then we give a new relation about the number of partitions of an n-set, i.e....
In this paper, we find recursive relations t(Ln) = 4t(Ln−1)−t(Ln−2), t(Fn) = 3t(Fn−1) − t(Fn−2), and t(Wn) = t(Wn−1) + t(Fn) + t(Fn−1), for determining ...
The number of certain rankings and hierarchies formed from labeled or unlabeled elements and sets
enumerative combinatorics rankings hierarchies
2010/9/17
Certain types of combinatorial rankings and hierarchies of labeled or unlabeled elements are presented along with their counting formulas.