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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Branching random walks driven by products of random matrices
随机矩阵 乘积驱动 分支随机 游走
2023/4/18
A branching random walk is a system of particles, where each particle gives birth to new particles of the next generation, which move on $\mathbb R^d$ according to some probability law. In this talk, ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Products of random matrices
随机矩阵 乘积 极限定理收敛率
2023/4/19
Let $(g_n)_{n\geq 1}$ be a sequence of independent and identically distributed random matrices of type $d \times d $ with real coefficients. Consider the products $G_n : = g_n \ldots g_1$ and the rand...
Eigenvalues of products of unitary matrices and Lagrangian involutions
Unitary representations Parabolic bundles Lagrangian involutions
2015/12/17
This paper introduces a submanifold of the moduli space of unitary representations of the fundamental group of a puncturedsphere with fixedlocal monodromy. The submanifoldis definedvia products of inv...
Manin products, Koszul duality, Loday algebras and Deligne conjecture
Manin products Koszul duality Loday algebras Deligne conjecture
2015/3/25
In this article we give a conceptual definition of Manin products in any category endowed with two coherent monoidal products. This construction can be applied to associative algebras, non-symmetric o...
Amalgamated Products of Groups II: Measures of Random Normal Forms
Amalgamated Products Measures of Random Normal Forms Group Theory
2011/9/15
Abstract: Let $G=\mathop{A\ast B}\limits_C$ be an amalgamated product of finite rank free groups $A$, $B$ and $C$. We introduce atomic measures and corresponding asymptotic densities on a set of norma...
Subdirect products of groups and the n-(n+1)-(n+2) theorem
fibre products subdirect products subgroup structure finiteness properties
2011/9/5
Abstract: We analyse the subgroup structure of direct products of groups. In particular, we seek to relate the finiteness properties of a group to the ways in which it embeds non-trivially into a dire...
A catalog of Cayley-Dickson-like products
twisted group algebra Cayley-Dickson algebra quaternions octonions Fano plane
2011/8/26
Abstract: A catalog of all 32 Cayley-Dickson-like doubling products on ordered pairs (a,b),(c,d) for which (1,0) is the left and right identity and for which xx* and x*x equal the square of the norm o...
Cyclic homology of braided Hopf crossed products
Crossed products Hochschild (co)homology Cyclic homology
2011/8/25
Abstract: Let k be a field, A a unitary associative k-algebra and V a k-vector space endowed with a distinguished element 1_V. We obtain a mixed complex, simpler that the canonical one, that gives the...
On Nilpotent Multipliers of Some Verbal Products of Groups
Nilpotent multiplier Verbal product Nilpotent product Cyclic group
2011/1/19
The paper is devoted to finding a homomorphic image for the c-nilpotent multiplier of the verbal product of a family of groups with respect to a variety V when V ⊆ Nc or Nc ⊆ V. Also a str...
Structure and K-theory of crossed products by proper actions
Structure K-theory of crossed products proper actions
2011/2/25
We study the C*-algebra crossed product C0(X) ⋊ G of a locally compact group G acting properly on a locally compact Hausdorff space X.Under some mild extra conditions, which are automatic if G i...
Subgroup Distortion in Wreath Products of Cyclic Groups
Subgroup Distortion Wreath Products of Cyclic Groups
2010/12/10
We study the effects of subgroup distortion in the wreath products A wr Z, where A is finitely generated abelian. We show that every finitely generated subgroup of A wr Z has distortion function bound...
Dilations of semigroup crossed products as crossed products of dilations
Dilations of semigroup crossed products of dilations
2010/12/14
Laca constructed a minimal automorphic dilation for every semigroup dynamical system arising from an action of an Ore semigroup by injective endomorphisms of a unital C-algebra. Here we show that the...
On the Convergence of Products ...... in the Adams Spectral Sequence
stable homotopy groups of spheres Adams spectral sequence May spectral sequence
2007/12/10
Let $A$ be the mod $p$ Steenrod algebra and $S$ the sphere spectrum localized at $p$, where $p$ is an odd prime. In 2001 Lin detected a new family in the stable homotopy of spheres which is represente...
From random sets to continuous tensor products: answers to three questions of W. Arveson
continuous tensor products W. Arveson
2010/10/29
The set of zeros of a Brownian motion gives rise to a product system in the sense of William Arveson (that is, a continuous tensor product system of Hilbert spaces). Replacing the Brownian motion with...