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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...
We show that for arbitrary fixed conjugacy classes C1, . . . , Cl, l ≥ 3, of loxodromic isometries of the two-dimensional complex or quaternionic hyperbolic space there exist isometries g1, . . . , gl...
CUP PRODUCTS, THE HEISENBERG GROUP, AND CODIMENSION TWO ALGEBRAIC CYCLES
CUP PRODUCTS HEISENBERG GROUP
2015/12/10
We de ne higher categorical invariants (gerbes) of codimension two algebraic cycles and provide
a categorical interpretation of the intersection of divisors on a smooth proper algebraic variety. This...
SYMBOLIC EXTENSION ENTROPY:Cr EXAMPLES,PRODUCTS AND FLOWS
SYMBOLIC EXTENSION ENTROPY Cr EXAMPLES PRODUCTS FLOWS
2015/9/29
Adapting techniques of Misiurewicz, for 1 ≤ r < ∞ we give an explicit construction of Cr maps with positiveresidual entropy. We also establish the behavior of symbolic extension entropy with respect t...
Bartholdi, Neuhauser and Woess proved that a family of metabelian groups including lamplighters have a striking geometric manifestation as 1-skeleta of horocyclic products of trees. The purpose of thi...
Palindromic width of wreath products, metabelian groups, and max-n solvable groups
wreath products metabelian groups
2015/8/26
A group has finite palindromic width if there exists n such that every element can be expressed as a product of n or fewer palindromic words. We show that if G has finite palindromic width with respec...
Wreath products are a type of semidirect product. They play an important
role in group theory. This paper studies the basic behavior of simple random
walks on such groups and shows that these walks ...
Products of Universal Cycles。
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...
Multiply twisted products
Multiply twisted products index forms Killing vector fields semisymmetric metric connection Ricci tensor scalar curvature Einstein manifolds
2012/7/11
In this paper, we compute the index form of the multiply twisted products. We study the Killing vector fields on the multiply twisted product manifolds and determine the Killing vector fields in some ...
Generalized Riesz Products on the Bohr compactification of $\R$
Generalized Riesz products almost periodic functions Bohr compactification mean value Besicovitch space Kac Central Limit Theorem Kakutani criterion
2012/6/19
We study a class of generalized Riesz products connected to the spectral type of some class of rank one flows on $\R$. Applying a Central Limit Theorem of Kac, we exhibit a large class of singular gen...
Moduli of products of stable varieties
2012/6/18
We study the moduli space of a product of stable varieties over the field of complex numbers, as defined via the minimal model program. Our main results are: (a) taking products gives a well-defined m...
Symmetries of Julia sets of polynomial skew products on C^2
Complex dynamics skew product Green function
2012/4/18
We consider the symmetries of Julia sets of polynomial skew products on C^2, which are birationally conjugate to rotational products. Our main results give the classification of the polynomial skew pr...