Results 81 to 90 of about 2,214 (215)
ABSTRACT Scale is central to inference in natural and social systems, and geography and ecology have treated it as an explicit object of theory for decades. This paper builds on that work with a formal view in which scale is a degree of freedom of description, parameterizing both the mappings between representations and the metric defining distance and
Eric Vaz
wiley +1 more source
Renormalized Light Front Hamiltonian in the Pauli-Villars Regularization [PDF]
LaTeX, 18 pages, 2 figures. Appendix B has been replaced. Some changes have been made in Introduction and Conclusion. The new list of references is more complete. Article will be published in International Journal of Theoretical Physics, the final publication is available at link.springer ...
Malyshev, M. Yu. +3 more
openaire +3 more sources
Dam Management in the Era of Climate Change
ABSTRACT Climate change has a dramatic impact, particularly by concentrating rainfall into a few short periods, interspersed with long dry spells. In this context, the role of dams is crucial. We consider the optimal control of a dam, where the water level must neither exceed a designated safety threshold nor fall below a minimum level to ensure ...
Cristina Di Girolami +3 more
wiley +1 more source
Renormalization group and fixed points: in quantum field theory
This Brief presents an introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics. Emphasis is placed on gaining a physical understanding of the running of the couplings.
Hollowood, Timothy J
core +1 more source
On the Numerical Solution of the Poisson Equation in the Smoothed Particle Hydrodynamics
ABSTRACT In the present work, we address some aspects related to the numerical solution of the Poisson equation within the framework of the Smoothed Particle Hydrodynamics (SPH). In this case, the Poisson equation is solved using nonlocal, kernel‐based discretizations of the differential operators (i.e., gradient, divergence, and Laplacian operators ...
Matteo Antuono +2 more
wiley +1 more source
STransformer is a unified deep learning framework designed to seamlessly accommodate a comprehensive landscape of spatial data. By simultaneously capturing short‐range cellular interactions and tissue‐wide semantic patterns, it extracts robust representations to accurately dissect complex tissue heterogeneity.
Xingyi Li +9 more
wiley +1 more source
Dimensional regularization vs methods in fi xed dimension with and without y5 [PDF]
We study the Lorentz and Dirac algebra, including the antisymmetric e tensor and the y 5 matrix, in implicit gauge-invariant regularization/renormalization methods de ned in xed integer dimensions. They include constrained differential, implicit and
Pérez-Victoria Moreno De Barreda, Manuel María +2 more
core +1 more source
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 +3 more
wiley +1 more source
Regularization and Renormalization of Chern-Simons Theory [PDF]
We analyze some features of the perturbative quantization of Chern-Simons theory (CST) in the Landau gauge. In this gauge the theory is known to be perturbatively finite. We consider the renormalization scheme in which the renormalized parameter $k$ equals the bare or classical one and show that it constitutes a natural parametrization for the quantum ...
Ruiz Ruiz, Fernando +2 more
openaire +3 more sources
An Étude on the regularization and renormalization of divergences in primordial observables
AbstractMany cosmological observables derive from primordial vacuum fluctuations evolved to late times. These observables represent statistical draws from some underlying quantum or statistical field theoretic framework where infinities arise and require regularization.
Negro, A., Patil, S.P.
openaire +3 more sources

