Oberwolfach Publications
http://publications.mfo.de:80
The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.Sat, 16 Nov 2019 00:27:52 GMT2019-11-16T00:27:52ZOberwolfach Publicationshttp://publications.mfo.de/themes/Mirage2/images/apple-touch-icon.png
http://publications.mfo.de:80
Global Solutions to Stochastic Wave Equations with Superlinear Coefficients
http://publications.mfo.de/handle/mfo/3683
Global Solutions to Stochastic Wave Equations with Superlinear Coefficients
Millet, Annie; Sanz-Solé, Marta
We prove existence and uniqueness of a random field solution $(u(t,x);(t,x)\in [0,T]\times \mathbb{R}^d)$ to a stochastic wave equation in dimensions $d=1,2,3$ with diffusion and drift coefficients of the form $|x| \big(
\ln_+(|x|) \big)^a$ for some $a$>0. The proof relies on a sharp analysis of moment estimates of time and space increments of the corresponding stochastic wave equation with globally Lipschitz coefficients. We give examples of spatially correlated Gaussian driving noises where the results apply.
Wed, 13 Nov 2019 00:00:00 GMThttp://publications.mfo.de/handle/mfo/36832019-11-13T00:00:00ZMillet, AnnieSanz-Solé, MartaWe prove existence and uniqueness of a random field solution $(u(t,x);(t,x)\in [0,T]\times \mathbb{R}^d)$ to a stochastic wave equation in dimensions $d=1,2,3$ with diffusion and drift coefficients of the form $|x| \big(
\ln_+(|x|) \big)^a$ for some $a$>0. The proof relies on a sharp analysis of moment estimates of time and space increments of the corresponding stochastic wave equation with globally Lipschitz coefficients. We give examples of spatially correlated Gaussian driving noises where the results apply.Algebraische Zahlentheorie
http://publications.mfo.de/handle/mfo/3652
Algebraische Zahlentheorie
The origins of Algebraic Number Theory can be traced to over two centuries ago, wherein algebraic techniques are used to glean information about integers and rational numbers. It continues to be at the forefront of
Mon, 01 Jan 2018 00:00:00 GMThttp://publications.mfo.de/handle/mfo/36522018-01-01T00:00:00ZThe origins of Algebraic Number Theory can be traced to over two centuries ago, wherein algebraic techniques are used to glean information about integers and rational numbers. It continues to be at the forefront ofMatrix Estimation Meets Statistical Network Analysis: Extracting low-dimensional structures in high dimension
http://publications.mfo.de/handle/mfo/3651
Matrix Estimation Meets Statistical Network Analysis: Extracting low-dimensional structures in high dimension
The study of complex relationships among the elements of a large collection of random variables lead to the development of a number of areas in probability and statistics such as probabilistic network analysis or random matrix theory. The aim of the workshop was to address the challenge to develop a coherent mathematical framework within which these areas can be integrated, for a successful analysis of massive and complicated data sets.
Mon, 01 Jan 2018 00:00:00 GMThttp://publications.mfo.de/handle/mfo/36512018-01-01T00:00:00ZThe study of complex relationships among the elements of a large collection of random variables lead to the development of a number of areas in probability and statistics such as probabilistic network analysis or random matrix theory. The aim of the workshop was to address the challenge to develop a coherent mathematical framework within which these areas can be integrated, for a successful analysis of massive and complicated data sets.Subgroups of Cremona Groups
http://publications.mfo.de/handle/mfo/3650
Subgroups of Cremona Groups
There have been recent breakthroughs in two related questions: the study of Cremona groups, and the problem of rationality of algebraic varieties. Our workshop brought together algebraic geometers, who discussed and tried to solve problems that are relevant to the classification of finite subgroups of Cremona groups. Priority was given to the following four related areas: automorphisms of algebraic varieties, birational geometry of Mori fibre spaces, and rationality problems.
Mon, 01 Jan 2018 00:00:00 GMThttp://publications.mfo.de/handle/mfo/36502018-01-01T00:00:00ZThere have been recent breakthroughs in two related questions: the study of Cremona groups, and the problem of rationality of algebraic varieties. Our workshop brought together algebraic geometers, who discussed and tried to solve problems that are relevant to the classification of finite subgroups of Cremona groups. Priority was given to the following four related areas: automorphisms of algebraic varieties, birational geometry of Mori fibre spaces, and rationality problems.Geometrie
http://publications.mfo.de/handle/mfo/3649
Geometrie
The workshop Geometrie, organized by John Lott (Berkeley), André Neves (London), Iskander Taimanov (Novosibirsk) and Burkhard Wilking (Münster) was well attended with over 53 participants with broad geographic representation from all continents, and held in a very active atmosphere. During the meeting, various interesting topics in geometry were discussed, such as geometric ﬂows, Kähler geometry, manifolds with nonnegative or positive curvature, and minimal surfaces.
Mon, 01 Jan 2018 00:00:00 GMThttp://publications.mfo.de/handle/mfo/36492018-01-01T00:00:00ZThe workshop Geometrie, organized by John Lott (Berkeley), André Neves (London), Iskander Taimanov (Novosibirsk) and Burkhard Wilking (Münster) was well attended with over 53 participants with broad geographic representation from all continents, and held in a very active atmosphere. During the meeting, various interesting topics in geometry were discussed, such as geometric ﬂows, Kähler geometry, manifolds with nonnegative or positive curvature, and minimal surfaces.Cohomological and Metric Properties of Groups of Homeomorphisms of R
http://publications.mfo.de/handle/mfo/3648
Cohomological and Metric Properties of Groups of Homeomorphisms of R
In recent years, the family of groups sharing features or design principles with classical Thompson groups has grown considerably. The workshop highlights new developments in this field with special emphasis on algorithmic questions, cohomological properties, and smoothability of actions.
Mon, 01 Jan 2018 00:00:00 GMThttp://publications.mfo.de/handle/mfo/36482018-01-01T00:00:00ZIn recent years, the family of groups sharing features or design principles with classical Thompson groups has grown considerably. The workshop highlights new developments in this field with special emphasis on algorithmic questions, cohomological properties, and smoothability of actions.Field Arithmetic
http://publications.mfo.de/handle/mfo/3647
Field Arithmetic
Field Arithmetic studies the interrelation between arithmetic properties of fields and their absolute Galois groups. It is an interdisciplinary area that uses methods of algebraic number theory, commutative algebra, algebraic geometry, arithmetic geometry, finite and profinite groups, and nonarchimedean analysis. Some of the results are motivated by questions of model theory and used to establish results in (un-)decidability.
Mon, 01 Jan 2018 00:00:00 GMThttp://publications.mfo.de/handle/mfo/36472018-01-01T00:00:00ZField Arithmetic studies the interrelation between arithmetic properties of fields and their absolute Galois groups. It is an interdisciplinary area that uses methods of algebraic number theory, commutative algebra, algebraic geometry, arithmetic geometry, finite and profinite groups, and nonarchimedean analysis. Some of the results are motivated by questions of model theory and used to establish results in (un-)decidability.Interactions between Algebraic Geometry and Noncommutative Algebra
http://publications.mfo.de/handle/mfo/3646
Interactions between Algebraic Geometry and Noncommutative Algebra
The workshop presented current developments exploring the boundaries and intersections between the fields of noncommutative algebra and representation theory on the one hand, and algebraic geometry on the other hand, with particular emphasis on topics where such interactions have led to substantial recent progress.
Mon, 01 Jan 2018 00:00:00 GMThttp://publications.mfo.de/handle/mfo/36462018-01-01T00:00:00ZThe workshop presented current developments exploring the boundaries and intersections between the fields of noncommutative algebra and representation theory on the one hand, and algebraic geometry on the other hand, with particular emphasis on topics where such interactions have led to substantial recent progress.Enumerative Combinatorics
http://publications.mfo.de/handle/mfo/3645
Enumerative Combinatorics
Enumerative Combinatorics focusses on the exact and asymptotic counting of combinatorial objects. It is strongly connected to the probabilistic analysis of large combinatorial structures and has fruitful connections to several disciplines, including statistical physics, algebraic combinatorics, graph theory and computer science. This workshop brought together experts from all these various fields, including also computer algebra, with the goal of promoting cooperation and interaction among researchers with largely varying backgrounds.
Mon, 01 Jan 2018 00:00:00 GMThttp://publications.mfo.de/handle/mfo/36452018-01-01T00:00:00ZEnumerative Combinatorics focusses on the exact and asymptotic counting of combinatorial objects. It is strongly connected to the probabilistic analysis of large combinatorial structures and has fruitful connections to several disciplines, including statistical physics, algebraic combinatorics, graph theory and computer science. This workshop brought together experts from all these various fields, including also computer algebra, with the goal of promoting cooperation and interaction among researchers with largely varying backgrounds.Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information
http://publications.mfo.de/handle/mfo/3644
Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information
Operator space theory was the joining element of our workshop. This theory is a quantisation of the theory of Banach spaces. The talks at our meeting investigated the interactions of operator space theory with operator algebras and other areas of functional analysis, with classical and quantum probability, with noncommutative harmonic analysis, and, in particular, with quantum information theory.
Mon, 01 Jan 2018 00:00:00 GMThttp://publications.mfo.de/handle/mfo/36442018-01-01T00:00:00ZOperator space theory was the joining element of our workshop. This theory is a quantisation of the theory of Banach spaces. The talks at our meeting investigated the interactions of operator space theory with operator algebras and other areas of functional analysis, with classical and quantum probability, with noncommutative harmonic analysis, and, in particular, with quantum information theory.