Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are...

Multiscale geometric analysis or geometric multiscale analysis is an emerging area of high-dimensional signal processing and data analysis. Wavelet Scale...

Geometric data analysis comprises geometric aspects of image analysis, pattern analysis, and shape analysis, and the approach of multivariate statistics...

from mathematical analysis, and introducing the Riemann surface, and Henri Poincaré, the founder of algebraic topology and the geometric theory of dynamical...

geometry is also related to the geometric aspects of the theory of differential equations, otherwise known as geometric analysis. Differential geometry finds...

Geometric phase analysis is a method of digital signal processing used to determine crystallographic quantities such as d-spacing or strain from high-resolution...

Early results in analysis were implicitly present in the early days of ancient Greek mathematics. For instance, an infinite geometric sum is implicit in...

Geometric and Functional Analysis (GAFA) is a mathematical journal published by Birkhäuser, an independent division of Springer-Verlag. The journal is...

stated in terms of geometry. Some purely geometrical problems arise out of the study of computational geometric algorithms, and such problems are also considered...

In mathematics, a geometric series is a series summing the terms of an infinite geometric sequence, in which the ratio of consecutive terms is constant...

is known for his contributions to the fields of geometric analysis, Riemannian geometry, and geometric topology. In 2005, Perelman resigned from his research...

Curvature of Space and Time, with an Introduction to Geometric Analysis is an undergraduate-level textbook for mathematics and physics students on differential...

inertia with respect to a fixed axis of rotation Poinsot's ellipsoid – Geometric method for visualizing a rotating rigid body Polhode – Curve produced...

in mathematics, particularly in differential geometry, geometric topology, and harmonic analysis, in particular yielding Hodge theory on oriented pseudo-Riemannian...

contributors to the development of modern differential geometry and geometric analysis. The impact of Yau's work are also seen in the mathematical and physical...

of data analysis known as geometric data analysis. This involves the development of direct connections between simple correspondence analysis, principal...

Mathematics at Columbia University. Hamilton is known for contributions to geometric analysis and partial differential equations, and particularly for developing...

mathematical fields of Kähler geometry, Gromov-Witten theory, and geometric analysis. As of 2020, he is the Vice Chairman of the China Democratic League...

French mathematician whose research concerns differential geometry and geometric analysis. He is a professor at Caltech. In 2018, he proved Yau's conjecture...

MR 2682326. Zbl 1246.53001. Jost, Jürgen (2017). Riemannian geometry and geometric analysis. Universitext (Seventh edition of 1995 original ed.). Cham: Springer...

For example, the Black–Scholes model prices options as if they follow a geometric Brownian motion, illustrating the opportunities and risks from applying...

theory. Annals of Global Analysis and Geometry The Journal of Geometric Analysis Atiyah–Singer index theorem Geometric analysis Lie groupoid Pseudogroup...

interactive geometry editor, ray tracing support for graphics rendering and geometric analysis, computer network distributed framebuffer support, scripting, image-processing...

Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties...

1942) is an American mathematician and one of the founders of modern geometric analysis. She is a professor emeritus of mathematics at the University of Texas...

also known as asymptotic geometric analysis or high-dimensional geometry, is a field of mathematics that investigates the geometric properties of finite-dimensional...

geometry, dynamical systems, probability, graph theory, discrete geometric analysis, and mathematical crystallography. Among his numerous contributions...

In the mathematical fields of differential equations and geometric analysis, the maximum principle is one of the most useful and best known tools of study...

(2002). "The Ginzburg–Landau Functional". Riemannian Geometry and Geometric Analysis (Third ed.). Springer-Verlag. pp. 373–381. ISBN 3-540-42627-2. Jost...

professor. Harrison specializes in geometric analysis and areas in the intersection of algebra, geometry, and geometric measure theory. She introduced and...