Results 141 to 150 of about 4,114 (276)

Feynman integrals, elliptic integrals and two-parameter K3 surfaces

Journal of High Energy Physics
The three-loop banana integral with three equal masses and the conformal two-loop five-point traintrack integral in two dimensions are related to a two-parameter family of K3 surfaces.
Claude Duhr, Sara Maggio
doaj   +1 more source

On Fock-space representations of quantized enveloping algebras related to noncommutative differential geometry [PDF]

, 1995
Branislav Jurčo, Michael Schlieker
openalex   +1 more source

Reversal Asymmetry of Reciprocal Metasurface Enables Ultra‐Compact Varifocal Reflective Lens

Laser &Photonics Reviews, EarlyView.
The possibility of breaking the reversal symmetry of a lens without violating reciprocity is demonstrated. The freedom provided is utilized to realize an ultra‐compact reflective varifocal lens‐doublet based on a flat metasurface lens and a piezoelectric actuated micromirror.
Christopher A. Dirdal, Jesil Jose, Firehun Tsige Dullo, Grégory Bouquet, Paul C. V. Thrane, Zeljko Skokic, Johannes Skaar   +6 more
wiley   +1 more source

Non-smooth differential geometry and algebras of generalized functions

, 2003
Michael Kunzinger
openalex   +2 more sources

On the section conjecture over fields of finite type

Mathematische Nachrichten, EarlyView.
Abstract Assume that the section conjecture holds over number fields. We prove then that it holds for a broad class of curves defined over finitely generated extensions of Q$\mathbb {Q}$. This class contains every projective, hyperelliptic curve, every hyperbolic, affine curve of genus ≤2$\le 2$, and a basis of open subsets of any curve.
Giulio Bresciani
wiley   +1 more source

Metaplectic operators with quasi‐diagonal kernels

Mathematische Nachrichten, EarlyView.
Abstract Metaplectic operators form a relevant class of operators appearing in different applications, in this work we study their Schwartz kernels. Namely, diagonality of a kernel is defined by imposing rapid off‐diagonal decay conditions, and quasi‐diagonality by imposing the same conditions on the smoothing of the kernel through convolution with the
Gianluca Giacchi, Luigi Rodino
wiley   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Geometry of differential operators of second order, the algebra of densities, and groupoids

, 2012
H. M. Khudaverdian, Th.Th. Voronov
openalex   +1 more source

WEIGHTED TRACES ON ALGEBRAS OF PSEUDO-DIFFERENTIAL OPERATORS AND GEOMETRY ON LOOP GROUPS [PDF]

, 2002
Alexander Cardona, C. Ducourtioux, Jean-Pierre Magnot, Sylvie Paycha   +3 more
openalex   +1 more source

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin, Simone Nati Poltri, Clair Poignard   +2 more
wiley   +1 more source