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Now showing items 379398 of 1935

1143a  Correlations and Interactions for Random Quantum Systems
[OWR201150] (2011)  (23 Oct  29 Oct 2011)Random quantum systems cover a broad range of mathematical models from random Schr¨odinger operators to random matrices and quantum spin models with random parameters. Their understanding requires techniques which combine ... 
Counting Curves on Toric Surfaces Tropical Geometry & the Fock Space
[OWP201718] (Mathematisches Forschungsinstitut Oberwolfach, 20170717)We study the stationary descendant Gromov–Witten theory of toric surfaces by combining and extending a range of techniques – tropical curves, floor diagrams, and Fock spaces. A correspondence theorem is established between ... 
Counting selfavoiding walks on the hexagonal lattice
[SNAP2019006EN] (Mathematisches Forschungsinstitut Oberwolfach, 20190604)In how many ways can you go for a walk along a lattice grid in such a way that you never meet your own trail? In this snapshot, we describe some combinatorial and statistical aspects of these socalled selfavoiding ... 
Coxeter Arrangements and Solomon's Descent Algebra
[OWP201103] (Mathematisches Forschungsinstitut Oberwolfach, 2011056) 
Criteria for Algebraicity of Analytic Functions
[OWP201825] (Mathematisches Forschungsinstitut Oberwolfach, 20181112)We consider functions defined on an open subset of a nonsingular, either real or complex, algebraic set. We give criteria for an analytic function to be a Nash (resp. regular, resp. polynomial) function. Our criteria depend ... 
Cryptanalysis of Publickey Cryptosystems Based on Algebraic Geometry Codes
[OWP201201] (Mathematisches Forschungsinstitut Oberwolfach, 20120320)This paper addresses the question of retrieving the triple $(\mathcal{X},\mathcal{P},\mathcal{E})$ from the algebraic geometry code $\mathcal{C}_L(\mathcal{X},\mathcal{P},\mathcal{E})$, where $\mathcal{X}$ is an algebraic ... 
1431  Cryptography
[OWR201435] (2014)  (27 Jul  02 Aug 2014)The Oberwolfach workshop Cryptography brought together scientists from cryptography with mathematicians specializing in the algorithmic problems underlying cryptographic security. The goal of the workshop was to stimulate ... 
1703  Cryptography
[OWR20175] (2017)  (15 Jan  21 Jan 2017)The Oberwolfach workshop Cryptography brought together scientists from cryptography with mathematicians specializing in the algorithmic problems underlying cryptographic security. The goal of the workshop was to stimulate ... 
Crystal energy functions via the charge in types A and C
[OWP201125] (Mathematisches Forschungsinstitut Oberwolfach, 20110523)The RamYip formula for Macdonald polynomials (at $t=0$) provides a statistic which we call charge. In types $A$ and $C$ it can be defined on tensor products of KashiwaraNakashima single column crystals. In this ... 
Curriculum development in university mathematics: where mathematicians and education collide
[SNAP2015011EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)This snapshot looks at educational aspects of the design of curricula in mathematics. In particular, we examine choices textbook authors have made when introducing the concept of the completness of the real numbers. Can ... 
0217a  Curvature and Dispersion Effects in Nonlinear Partial Differential Equations
[TB200220] (2002)  (21 Apr  27 Apr 2002) 
Darcy's law and groundwater flow modelling
[SNAP2015007EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)Formulations of natural phenomena are derived, sometimes, from experimentation and observation. Mathematical methods can be applied to expand on these formulations, and develop them into better models. In the year 1856, ... 
0313  Darstellungen endlicher Gruppen
[TB200314] (2003)  (23 Mar  29 Mar 2003) 
0008  Darstellungstheorie endlichdimensionaler Algebren
[TB20008] (2000)  (20 Feb  26 Feb 2000) 
9925  Darstellungstheorie endlicher Gruppen
[TB199925] (1999)  (20 Jun  26 Jun 1999) 
2208  Data Assimilation  Mathematical Foundation and Applications
[OWR202210] (2022)  (20 Feb  26 Feb 2022)The field of "Data Assimilation'' has been driven by applications from the geosciences where complex mathematical models are interfaced with observational data in order to improve model forecasts. Mathematically, data ... 
Data assimilation: mathematics for merging models and data
[SNAP2018011EN] (Mathematisches Forschungsinstitut Oberwolfach, 20180710)When you describe a physical process, for example, the weather on Earth, or an engineered system, such as a selfdriving car, you typically have two sources of information. The first is a mathematical model, and the ... 
Deciding NonFreeness of Rational Möbius Groups
[OWP202207] (Mathematisches Forschungsinstitut Oberwolfach, 20220322)We explore a new computational approach to a classical problem: certifying nonfreeness of (2generator, parabolic) Möbius subgroups of SL(2, $\mathbb{Q}$). The main tools used are algorithms for Zariski dense groups and ... 
Deep Learning and Inverse Problems
[SNAP2019015EN] (Mathematisches Forschungsinstitut Oberwolfach, 20191121)Big data and deep learning are modern buzz words which presently infiltrate all fields of science and technology. These new concepts are impressive in terms of the stunning results they achieve for a large variety of ... 
2110b  Deep Learning for Inverse Problems (hybrid meeting)
[OWR202113] (2021)  (07 Mar  13 Mar 2021)Machine learning and in particular deep learning offer several datadriven methods to amend the typical shortcomings of purely analytical approaches. The mathematical research on these combined models is presently exploding ...