A Multitarget Land Use Change Simulation Model Based on Cellular Automata and Its Application
Abstract and Applied Analysis, 2014 Based on the analysis of the existing land use change simulation model, combined with macroland use change driving factors and microlocal land use competition, and through the application of Python language integrated technical approaches such as CA, GIS,
Jun Yang +4 more
doaj +1 more source
Application of linear hyperbolic PDE to linear quantum fields in curved spacetimes: especially black holes, time machines and a new semi-local vacuum concept [PDF]
, 2000 Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. For example, the quantum Dirac field in a strong and/or time-dependent external electromagnetic field
Kay, Bernard S.
core +3 more sources
Optimal embeddings of ultradistributions into differential algebras
, 2017 We construct embeddings of spaces of non-quasianalytic ultradistributions into differential algebras enjoying optimal properties in view of a Schwartz type impossibility result, also shown in this article. We develop microlocal analysis in these algebras
Debrouwere, Andreas +2 more
core +2 more sources
Classical and Quantum Dynamics on Orbifolds
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We present two versions of the Egorov theorem for orbifolds. The first one is a straightforward extension of the classical theorem for smooth manifolds.
Yuri A. Kordyukov
doaj +1 more source
Limits in $ \mathcal{D} $-module categories: Completeness and derived geometric extensions
AIMS MathematicsThis work establishes the categorical completeness of the category $ \mathsf{Mod}(\mathcal{D}_{X}) $ of left $ \mathcal{D} $-modules on smooth complex algebraic varieties, resolving a fundamental structural question in algebraic analysis.
Huang-Rui Lei, Jian-Gang Tang
doaj +1 more source
The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes [PDF]
, 1995 Quantum fields propagating on a curved spacetime are investigated in terms of microlocal analysis. We discuss a condition on the wave front set for the corresponding n-point distributions, called ``microlocal spectrum condition'' ($\mu$SC).
A. Uhlmann +27 more
core +2 more sources
Two-microlocal regularity of quasimodes on the torus
, 2017 We study the regularity of stationary and time-dependent solutions to strong perturbations of the free Schr\"odinger equation on two-dimensional flat tori.
Macià, Fabricio, Rivière, Gabriel
core +1 more source
From open quantum systems to open quantum maps [PDF]
, 2010 For a class of quantized open chaotic systems satisfying a natural dynamical assumption, we show that the study of the resolvent, and hence of scattering and resonances, can be reduced to the study of a family of open quantum maps, that is of finite ...
Nonnenmacher, Stéphane +2 more
core +8 more sources
New Frontiers of Fractal Uncertainty
Fractal and FractionalWe extend the classical fractal uncertainty principle (FUP) framework in time-frequency analysis by exploring several novel directions. First, we generalize the FUP beyond the classical Gaussian window by investigating non-Gaussian windows and the ...
Saeed Hashemi Sababe, Ismail Nikoufar
doaj +1 more source
Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$
Mathematika, Volume 71, Issue 4, October 2025.Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley +1 more source