Results 31 to 40 of about 446 (130)
Applying Dynamics/Cost Parameter Continuation to the Optimal Guidance of Variable‐Speed Unicycle
Optimal Control Applications and Methods, Volume 47, Issue 2, Page 643-657, March/April 2026.(a) Classical parameter continuation method diverges. (b) Dynamics/cost parameter continuation method converges. ABSTRACT The problem of a variable‐speed unicycle guidance to the stationary target is considered. The vehicle should be guided to the origin while minimizing the energy loss due to the induced drag.
Gleb Merkulov +2 more
wiley +1 more source
Regular homotopy classes of locally generic mappings
Topology and its Applications, 2004 14 pages, 5 ...
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The homotopy method revisited: Computing solution paths of $\ell _1$-regularized problems [PDF]
Mathematics of Computation, 2017 19 pages, 4 ...
Bringmann, Bjoern +3 more
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Fortschritte der Physik, Volume 74, Issue 3, March 2026.ABSTRACT We propose a manifestly duality‐invariant, Lorentz‐invariant, and local action to describe quantum electrodynamics in the presence of magnetic monopoles that derives from Sen's formalism. By employing field strengths as the dynamical variables, rather than potentials, this formalism resolves longstanding ambiguities in prior frameworks.
Aviral Aggarwal +2 more
wiley +1 more source
Homotopy in Q-polynomial distance-regular graphs
Discrete Mathematics, 2000 A connected graph \(\Gamma= (X,R)\) with diameter \(d\geq 1\) is called distance-regular if for all integers \(h\), \(i\), \(j\) such that \(0\leq h\), \(i,j\leq d\), and for all \(x,y\in X\) with \(\partial(x,y)= h\) the number \(p^h_{ij}= |\{z\in X\mid\partial(x, z)= i\text{ and }\partial(y,z)= j\}|\) depends only on \(h\), \(i\), \(j\) and not on ...
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Quasi‐Fuchsian flows and the coupled vortex equations
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We provide an alternative construction of the quasi‐Fuchsian flows introduced by Ghys. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric, uniquely determined by a conformal class and a holomorphic quadratic differential.
Mihajlo Cekić, Gabriel P. Paternain
wiley +1 more source
The systole of random hyperbolic 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the systole of a model of random hyperbolic 3‐manifolds introduced in Petri and Raimbault [Comment. Math. Helv. 97 (2022), no. 4, 729–768], answering a question posed in that same article. These are compact manifolds with boundary constructed by randomly gluing truncated tetrahedra along their faces.
Anna Roig‐Sanchis
wiley +1 more source
Critically fixed Thurston maps: classification, recognition, and twisting
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract An orientation‐preserving branched covering map f:S2→S2$f\colon S^2\rightarrow S^2$ is called a critically fixed Thurston map if f$f$ fixes each of its critical points. It was recently shown that there is an explicit one‐to‐one correspondence between Möbius conjugacy classes of critically fixed rational maps and isomorphism classes of planar ...
Mikhail Hlushchanka, Nikolai Prochorov
wiley +1 more source
Homotopy classification of equivariant regular sections
Manuscripta Mathematica, 1979 In his paper [2], Bierstone proves the equivariant Gromov theorem which is an integrability theorem for “open regularity condition” of equivariant sections of a smooth G-fibre bundle under the assumption that all orbit bundles of base manifold are non-closed.
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Homotopy based algorithms for $\ell_0$-regularized least-squares
, 2014 Sparse signal restoration is usually formulated as the minimization of a quadratic cost function $\|y-Ax\|_2^2$, where A is a dictionary and x is an unknown sparse vector. It is well-known that imposing an $\ell_0$ constraint leads to an NP-hard minimization problem. The convex relaxation approach has received considerable attention, where the $\ell_0$-
Soussen, Charles +3 more
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