Results 151 to 160 of about 9,658 (272)

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Szasz and Phillips Operators Based on q-Integers

, 2011
ABSTRACT: In this thesis, q-Szász-Durrmeyer (0 < q < 1) and q-Phillips (q > 0) operators are defined and some properties of these operators are studied. More precisely, local approximation results for continuous functions in terms of modulus of continuity are proved and Voronovskaja type asymptotic results are investigated.
openaire   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

A New Strategy to Design Reconfigurable Rivest–Shamir–Adleman (RSA) Accelerators

International Journal of Circuit Theory and Applications, EarlyView.
A reconfigurable FPGA‐based RSA accelerator is proposed using compression‐based modular multipliers combined with pseudomoduli arithmetic. The approach maps modular exponentiation to low‐cost arithmetic domains and applies a correction stage, achieving significant improvements in delay, operating frequency, and delay–area efficiency compared with ...
Augusto C. B. Vassoler, Gabriel B. M. Fernandes, Lucas R. Kieslich, Eduardo A. Bezerra, Hector Pettenghi   +4 more
wiley   +1 more source

A positivity conjecture for a quotient of <i>q</i>-binomial coefficients. [PDF]

Ramanujan J
Gatzweiler M, Krattenthaler C.
europepmc   +1 more source

Scalable Reverse Converters for the Moduli Set {2n+1−1,2n−1,2n−1−1}$$ \left\{{2}^{n+1}-1,{2}^n-1,{2}^{n-1}-1\right\} $$ (n$$ n $$ Even)

International Journal of Circuit Theory and Applications, EarlyView.
This work explores the conversion from residues to binary representation in RNS using the Chinese remainder theorem (CRT) or mixed radix conversion (MRC) algorithms. The proposed approach relocates CRT multiplicative inverses to the arithmetic stage without extra cost, improving scalability while achieving speedups over state‐of‐the‐art MRC ...
Gabriel B. M. Fernandes, Hector Pettenghi, Lucas R. Kieslich   +2 more
wiley   +1 more source

Arithmetic properties of character degrees and the generalised knutson index. [PDF]

Ramanujan J
Duro DM.
europepmc   +1 more source

Kinetic Contribution to the Arbitrary Order Odd Frequency Moments of the Dynamic Structure Factor

Contributions to Plasma Physics, EarlyView.
ABSTRACT An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over the exact momentum distribution.
Panagiotis Tolias, Tobias Dornheim, Jan Vorberger   +2 more
wiley   +1 more source

A unified Erdős-Pósa theorem for cycles in graphs labelled by multiple abelian groups. [PDF]

Math Ann
Gollin JP, Hendrey K, Kwon OJ, Oum SI, Yoo Y.   +4 more
europepmc   +1 more source