Results 1 to 10 of about 146,038 (305)
Scaling Limit of the Prudent Walk [PDF]
Electronic Communications in Probability, 2010 We describe the scaling limit of the nearest neighbour prudent walk on the square lattice, which performs steps uniformly in directions in which it does not see sites already visited. We show that the scaling limit is given by the process Z(u) = s_1 theta^+(3u/7) e_1 + s_2 theta^-(3u/7) e_2, where e_1, e_2 is the canonical basis, theta^+(t), resp ...
Vincent Beffara, Yvan Velenik
exaly +5 more sources
Hexagon bootstrap in the double scaling limit [PDF]
Journal of High Energy Physics, 2021 We study the six-particle amplitude in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills theory in the double scaling (DS) limit, the only nontrivial codimension-one boundary of its positive kinematic region. We construct the relevant function space, which
Vsevolod Chestnov +1 more
doaj +4 more sources
Simulation of Novel Nano Low-Dimensional FETs at the Scaling Limit [PDF]
NanomaterialsThe scaling of bulk Si-based transistors has reached its limits, while novel architectures such as FinFETs and GAAFETs face challenges in sub-10 nm nodes due to complex fabrication processes and severe drain-induced barrier lowering (DIBL) effects.
Pengwen Guo +11 more
doaj +2 more sources
A Scaling Limit for Limit Order Books Driven by Hawkes Processes [PDF]
SIAM Journal on Financial Mathematics, 2019 In this paper we derive a scaling limit for an infinite dimensional limit order book model driven by Hawkes random measures. The dynamics of the incoming order flow is allowed to depend on the current market price as well as on a volume indicator. With our choice of scaling the dynamics converges to a coupled SDE-ODE system where limiting best bid and ...
Ulrich Horst
exaly +4 more sources
Frontiers in Physics, 2021 This contribution is a review of the deep and powerful connection between the large-scale properties of critical systems and their description in terms of a field theory.
Philippe Ruelle
doaj +1 more source
The Heisenberg Limit at Cosmological Scales [PDF]
Foundations of Physics, 2022 A different view on the Hubble tension. To appear in final form on Foundations of Physics by Springer, as follow-on of Capozziello S., Benetti M., Spallicci A.D.A.M., 2020, Found.
Spallicci, Alessandro D. A. M. +2 more
openaire +5 more sources
Fractional Equations for the Scaling Limits of Lévy Walks with Position-Dependent Jump Distributions
Mathematics, 2023 Lévy walks represent important modeling tools for a variety of real-life processes. Their natural scaling limits are known to be described by the so-called material fractional derivatives.
Vassili N. Kolokoltsov
doaj +1 more source
Scaling Limits of Graphene Nanoelectrodes [PDF]
Nano Letters, 2017 Graphene is an ideal material for fabricating atomically thin nanometre spaced electrodes. Recently, carbon-based nanoelectrodes have been employed to create single-molecule transistors and phase change memory devices. In spite of the significant recent interest in their use in a range of nanoscale devices from phase change memories to molecular ...
Syed Ghazi Sarwat +6 more
openaire +6 more sources
Light-cone limits of large rectangular fishnets
Journal of High Energy Physics, 2023 Basso-Dixon integrals evaluate rectangular fishnets — Feynman graphs with massless scalar propagators which form a m × n rectangular grid — which arise in certain one-trace four-point correlators in the ‘fishnet’ limit of N $$ \mathcal{N} $$ = 4 SYM ...
I. Kostov
doaj +1 more source
A scaling limit for line and surface defects
Journal of High Energy Physics, 2022 We study symmetry-breaking line defects in the Wilson-Fisher theory with O(2N + 1) global symmetry near four dimensions and symmetry-preserving surface defects in a cubic model with O(2N) global symmetry near six dimensions.
D. Rodriguez-Gomez
doaj +1 more source