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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Two Approaches towards elliptic cohomology
椭圆 上同调 两种方法
2023/4/14
An elliptic cohomology theory is an even periodic multiplicative generalized cohomology theory whose associated formal group is the formal completion of an elliptic curve. It is at the intersection of...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Towards a zero-one law for improvements to Dirichlet's approximation theorem
Dirichlet近似定理 改进 零一定律
2023/5/10
In this talk we discuss a notion of $\psi$-Dirichlet in Diophantine approximation which concerns improving Dirichlet’s approximation theorem to a general approximating function $\psi$. This notion was...
Towards self-organization of decaying surface corrugations: A numerical study
A numerical study self-organization
2015/12/11
We study numerically the interplay of surface topography and kinetics in the relaxation of crystal
surface corrugations below roughening in two independent space dimensions. The kinetic processes
ar...
Towards a Global Theory of Singularly Perturbed Dynamical Systems
Perturbed Dynamical System Theory
2015/8/25
Dynamical systems with multiple time scales arise naturally in many domains.
Models of neural systems provide the principal motivation for this
paper. Most of the previous mathematical analysis of q...
How to Find Good Finite-Length Codes: From Art Towards Science
LDPC coding transmission binary probability
2015/8/21
We explain how to optimize finite-length LDPC codes for transmission over the binary erasure channel. Our approach relies on an analytic approximation of the erasure probability. This is in turn...
Double Hurwitz numbers count branched covers of CP1 with fixed branch points,
with simple branching required over all but two points 0 and ∞, and the branching
over 0 and ∞ specified by ...
Double Hurwitz numbers count branched covers of CP1 with fixed branch points,
with simple branching required over all but two points 0 and ∞, and the branching
over 0 and ∞ specified by ...
Towards a weighted version of the Hajnal-Szemeredi Theorem
Towards a weighted version the Hajnal-Szemeredi Theorem Combinatorics
2012/6/27
For a positive integer r>=2, a K_r-factor of a graph is a collection vertex-disjoint copies of K_r which covers all the vertices of the given graph. The celebrated theorem of Hajnal and Szemer\'edi as...
Towards motivic quantum cohomology of $\bar{M}_{0,S}$
motivic quantum cohomology Algebraic Geometry
2011/9/20
Abstract: We explicitly calculate some Gromov--Witten correspondences determined by maps of labeled curves of genus zero to the moduli spaces of labeled curves of genus zero. We consider these calcula...
Progress Towards Counting D_5 Quintic Fields
Progress Towards D_5 Quintic Fields Number Theory
2011/9/15
Abstract: Let $N(5,D_5,X)$ be the number of quintic number fields whose Galois closure has Galois group $D_5$ and whose discriminant is bounded by $X$. By a conjecture of Malle, we expect that $N(5,D_...
Non-commutative Hodge structures: Towards matching categorical and geometric examples
Non-commutative Hodge structures matching categorical geometric examples Algebraic Geometry
2011/9/9
Abstract: The subject of the present work is the "de Rham part" of non-commutative Hodge structures on the periodic cyclic homology of differential graded algebras and categories. We discuss explicit ...
Towards the Capacity Region of Multiplicative Linear Operator Broadcast Channels
Capacity Region Multiplicative Linear Operator Broadcast Channels
2011/2/28
Recent research indicates that packet multicasting employing random linear network coding can be regarded as transmitting subspaces as codewords over a linear operator channel (LOC).
The differences between natural and artificial life. Towards a definition of life
differences natural artificial life definition of life
2010/12/28
It is high time to openly and without finalism define the dangerous but needed term‘purposeful information’, whose quantity is an Eigen information value. Using the term ‘biological information’ in it...
Towards bounded negativity of self-intersection on general blown-up projective planes
bounded negativity of self-intersection general blown-up projective planes
2011/2/25
We address the problem of bounding from below the self-intersection of integral curves on the projective plane blown-up at general points.In particular, by applying classical deformation theory we obt...
Towards a Better Understanding of Large Scale Network Models
Better Understanding Large Scale Network Models
2011/3/4
Connectivity and capacity are two fundamental properties of wireless multi-hop networks. The scalability of these properties has been a primary concern for which asymptotic analysis is a useful tool.