Now showing items 1-20 of 403

• #### The 2.1-D Sketch ﻿

(IEEE Computer Society Press, 1990)
A model is described for image segmentation that tries to capture the low-level depth reconstruction exhibited in early human vision, giving an important role to edge terminations. The problem is to find a decomposition ...
• #### 2D-Shape Analysis Using Conformal Mapping ﻿

(Springer Verlag, 2006)
The study of 2D shapes and their similarities is a central problem in the field of vision. It arises in particular from the task of classifying and recognizing objects from their observed silhouette. Defining natural ...
• #### 4-Manifolds With Inequivalent Symplectic Forms and 3-Manifolds With Inequivalent Fibrations ﻿

(International Press, 1999)
We exhibit a closed, simply connected 4-manifold $X$ carrying two symplectic structures whose ﬁrst Chern classes in $H^2 (X, \mathbb{Z})$ lie in disjoint orbits of the diffeomorphism group of $X$. Consequently, the ...
• #### The ABC's of Number Theory ﻿

(Harvard University, 2007)
The ABC conjecture is a central open problem in modern number theory, connecting results, techniques and questions ranging from elementary number theory and algebra to the arithmetic of elliptic curves to algebraic geometry ...
• #### About Hermann Weyl’s “Ramifications, Old and New, of the Eigenvalue Problem” ﻿

(American Mathematical Society (AMS), 2012-05-01)
• #### Abstract 2374: Reconstructing the evolutionary history of metastatic cancers ﻿

(American Association for Cancer Research (AACR), 2016)
Reconstructing the evolutionary history of metastases is critical for understanding their basic biological principles and has profound clinical implications. Genome-wide sequencing data has enabled modern phylogenomic ...
• #### Abundance Conjecture ﻿

(International Press, 2010)
We sketch a proof of the abundance conjecture that the Kodaira dimension of a compact complex algebraic manifold equals its numerical Kodaira dimension. The proof consists of the following three parts: (i) the case of ...
• #### Accumulation of Driver and Passenger Mutations During Tumor Progression ﻿

Major efforts to sequence cancer genomes are now occurring throughout the world. Though the emerging data from these studies are illuminating, their reconciliation with epidemiologic and clinical observations poses a major ...
• #### The Alexander Polynomial of a 3-Manifold and the Thurston Norm on Cohomology ﻿

(Elsevier, 2002)
Let M be a connected, compact, orientable 3-manifold with $b_1(M)>1$, whose boundary (if any) is a union of tori. Our main result is the inequality ${\parallel \phi \parallel}_A \le {\parallel \phi \parallel}_T$ between ...
• #### An Algebraic Surface with $K$ ample, $(K^2)= 9, p_g = q = 0$ ﻿

(Johns Hopkins University Press, 1979)
• #### Amenability, Poincaré Series and Quasiconformal Maps ﻿

(Springer Verlag, 1989)
Any covering $Y \rightarrow X$ of a hyperbolic Riemann surface$X$ of finite area determines an inclusion of Teichmüller spaces $Teich(X) \hookrightarrow Teich(Y)$. We show this map is an isometry for the Teichmüller ...
• #### Amenable Coverings of Complex Manifolds and Holomorphic Probability Measures ﻿

(Springer Verlag, 1992)
• #### Amplification on Undirected Population Structures: Comets Beat Stars ﻿

(Springer Nature, 2017)
The fixation probability is the probability that a new mutant introduced in a homogeneous population eventually takes over the entire population. The fixation probability is a fundamental quantity of natural selection, and ...
• #### Analytical Results for Individual and Group Selection of Any Intensity ﻿

(Springer Verlag, 2008)
The idea of evolutionary game theory is to relate the payoff of a game to reproductive success (= fitness). An underlying assumption in most models is that fitness is a linear function of the payoff. For stochastic ...
• #### Another Realization of the Category of Modules Over the Small Quantum Group ﻿

(Elsevier BV, 2003-01)
Let g be a semi-simple simply-connected Lie algebra and let U-l be the corresponding quantum group with divided powers, where is an even order root of unity. Let in addition u(l) subset of U-l be the corresponding "small" ...
• #### Antiretroviral dynamics determines HIV evolution and predicts therapy outcome ﻿

(Nature Publishing Group, 2012)
Despite the high inhibition of viral replication achieved by current anti-HIV drugs, many patients fail treatment, often with emergence of drug-resistant virus. Clinical observations show that the relationship between ...
• #### Area and Hausdorff Dimension of Julia Sets of Entire Functions ﻿

(American Mathematical Society, 1987)
We show the Julia set of $\lambda\sin(z)$ has positive area and the action of $\lambda\sin(z)$ on its Julia set is not ergodic; the Julia set of $\lambda\exp(z)$ has Hausdorff dimension two but in the presence of ...
• #### Arithmetic on Curves ﻿

(American Mathematical Society (AMS), 1986-04-01)
• #### Asymptotic dynamics of nonlinear Schrödinger equations: Resonance-dominated and dispersion-dominated solutions ﻿

(Wiley-Blackwell, 2001)
We consider a linear Schrödinger equation with a nonlinear perturbation in ℝ3. Assume that the linear Hamiltonian has exactly two bound states and its eigen-values satisfy some resonance condition. We prove that if the ...
• #### Automorphisms of Even Unimodular Lattices and Unramified Salem Numbers ﻿

(Elsevier, 2002)
In this paper we study the characteristic polynomials $S(x)=\det(xI−F| II_{p,q})$ of automorphisms of even unimodular lattices with signature $(p,q)$. In particular, we show that any Salem polynomial of degree $2n$ ...