Time-Like Graphical Models

Tvrtko Tadic

• Paperback | Memoirs of the American Mathematical Society
• The author studies continuous processes indexed by a special family of graphs. Processes indexed by vertices of graphs are known as probabilistic grap... Lees meer

Naturality and Mapping Class Groups in Heegard Floer Homology

Andras Juhasz, Dylan P. Thurston, Ian Zemke

• Paperback | Memoirs of the American Mathematical Society
• Demonstrates that all versions of Heegaard Floer homology, link Floer homology, and sutured Floer homology are natural - they assign concrete groups t... Lees meer

Global Regularity for 2D Water Waves with Surface Tension

Alexandru D. Ionescu, Fabio Pusateri

• Paperback | Memoirs of the American Mathematical Society
• Examines the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and proves global... Lees meer

Kahler Spaces, Nilpotent Orbits, and Singular Reduction

• Paperback | Memoirs of the American Mathematical Society
• In the world of singular Poisson geometry, the closures of principal holomorphic nilpotent orbits, positive definite hermitian JTS', and certain pre-h... Lees meer

H-principles and Flexibility in Geometry

• Paperback | Memoirs of the American Mathematical Society
• The notion of homotopy principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geometry an... Lees meer

Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory

Raul E. Curto, In Sung Hwang, Woo Young Lee

• Paperback | Memoirs of the American Mathematical Society
• Examines matrix functions of bounded type from the viewpoint of describing an interplay between function theory and operator theory. The authors first... Lees meer

Knot Invariants and Higher Representation Theory

Ben Webster

• Paperback | Memoirs of the American Mathematical Society
• The author constructs knot invariants categorifying the quantum knot variants for all representations of quantum groups. He shows that these invariant... Lees meer

Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem

Donatella Danielli, Nicola Garofalo, Arshak Petrosyan, Tung To

• Paperback | Memoirs of the American Mathematical Society
• Offers a comprehensive treatment of the parabolic Signorini problem based on a generalization of Almgren's monotonicity of the frequency. This include... Lees meer

Topologically Protected States in One-Dimensional Systems

C.F. Fefferman, J.P. Lee-Thorp, M.I. Weinstein

• Paperback | Memoirs of the American Mathematical Society
• Examines a class of periodic Schrodinger operators, which in distinguished cases can be proved to have linear band-crossings or “Dirac points”. Th... Lees meer

Simplicial Dynamical Systems

• Paperback | Memoirs of the American Mathematical Society
• Abstract A - simplicial dynamical system is a simplicial map $g:K^* \rightarrow K$ where $K$ is a finite simplicial complex triangulating a compact po... Lees meer

Cohomological Invariants: Exceptional Groups and Spin Groups

• Paperback | Memoirs of the American Mathematical Society
• Focuses on invariants of G-torsors with values in mod p Galois cohomology - in the sense of Serre's lectures in the book Cohomological invariants in G... Lees meer

Modules in the Category of Schemes

• Paperback | Memoirs of the American Mathematical Society
• Gives a theory $S$-modules for Morel and Voevodsky's category of algebraic spectra over an arbitrary field $k$. This work also defines universe change... Lees meer

Infinite Dimensional Complex Symplectic Spaces

• Paperback | Memoirs of the American Mathematical Society
• Complex symplectic spaces are non-trivial generalizations of the real symplectic spaces of classical analytical dynamics. This title presents a self-c... Lees meer

Iterated Function Systems and Permutation Representations of the Cuntz Algebra

• Paperback | Memoirs of the American Mathematical Society
• This text is intended for graduate students and research mathematicians working in functional analysis. Topics include: permutative representations of... Lees meer

A Categorical Approach to Imprimitivity Theorems for C*-Dynamical Systems

• Paperback | Memoirs of the American Mathematical Society
• Shows that the Imprimitivity Theorem for induced algebras, Green's Imprimitivity Theorem for actions of groups, and Mansfield's Imprimitivity Theorem ... Lees meer

Stratifying Endomorphism Algebras

• Paperback | Memoirs of the American Mathematical Society
• Suppose that $R$ is a finite dimensional algebra and $T$ is a right $R$-module. Let $A = \textnormal{End}_R(T)$ be the endomorphism algebra of $T$. Th... Lees meer

An Index of a Graph with Applications to Knot Theory

• Paperback | Memoirs of the American Mathematical Society
• Presents the application of graph theory to knot theory. This book evaluates the braid index for many knots and links using the generalized Jones poly... Lees meer

Invariant Differential Operators for Quantum Symmetric Spaces

• Paperback | Memoirs of the American Mathematical Society
• Studies quantum invariant differential operators for quantum symmetric spaces in the maximally split case. The author finds a fresh basis for the quan... Lees meer

Distribution Solutions of Nonlinear Systems of Conservation Laws

Michael Sever

• Paperback | Memoirs of the American Mathematical Society
• Considers the local structure of solutions of initial value problems for nonlinear systems of conservation laws. Lees meer

Estimating the Error of Numerical Solutions of Systems of Reaction-diffusion Equations

• Paperback | Memoirs of the American Mathematical Society
• Includes a paper that concerns with the computational estimation of the error of numerical solutions of potentially degenerate reaction-diffusion equa... Lees meer

On Mesoscopic Equilibrium for Linear Statistics in Dyson's Brownian Motion

Maurice Duits, Kurt Johansson

• Paperback | Memoirs of the American Mathematical Society
• Studies mesoscopic fluctuations for Dyson's Brownian motion with $\beta =2$. The authors investigate the transition on the intermediate, i.e. mesoscop... Lees meer

Rock Blocks

• Paperback | Memoirs of the American Mathematical Society
• Rock blocks are certain combinatorially defined blocks appearing in the representation theory, first observed by R Rouquier. Rock blocks are much more... Lees meer

Rohlin Flows on von Neumann Algebras

Toshihiko Masuda, Reiji Tomatsu

• Paperback | Memoirs of the American Mathematical Society
• The authors classify Rohlin flows on von Neumann algebras up to strong cocycle conjugacy. This result provides alternative approaches to some precedin... Lees meer

Spatially Independent Martingales, Intersections, and Applications

Pablo Shmerkin, Ville Suomala

• Paperback | Memoirs of the American Mathematical Society
• The authors define a class of random measures, spatially independent martingales, which we view as a natural generalization of the canonical random di... Lees meer