7 papers
Extended Self-similarity in Multimode Optical Fiber Speckles
Mengxin Wu, Ziye Chen, Guang Yang +1
Extended Self-Similarity (ESS) is a widely used tool for uncovering universal power-law scaling in systems dominated by nonlinear interactions. This work demonstrates that ESS scal…
Generalized forms of types N = 1, 2 and higher gauge theory
Danhua Song, Mengyao Wu
In this paper, we give a compact formulation of strict higher gauge theory based on generalized (differential) forms that package fields of multiple form degrees into a single vari…
Partial Inverse Spectral Problems for Sturm-Liouville Operators with Frozen Arguments on a Star-Shaped Graph
Chung-Tsun Shieh, Tzong-Mo Tsai, Meng-Nien Wu
This paper is devoted to the study of a partial inverse spectral problem for Sturm-Liouville operators with frozen arguments on a star-shaped graph. The potentials are assumed to b…
Projection theorems with countably many exceptions and applications to the exact overlaps conjecture
Meng Wu
We establish several optimal estimates for exceptional parameters in the projection of fractal measures: (1) For a parametric family of self-similar measures satisfying a transvers…
New results on embeddings of self-similar sets via renormalization
Amir Algom, Michael Hochman, Meng Wu
For self-similar sets , we obtain new results towards the affine embeddings conjecture of Feng-Huang-Rao (2014), and the equivalent weak intersections conj…
On orbit complexity of dynamical systems: intermediate value property and level set related to a Furstenberg problem
Yuanyang Chang, Bing Li, Meng Wu
For symbolic dynamics with some mild conditions, we solve the lowering topological entropy problem for subsystems and determine the Hausdorff dimension of the level set with given…
Van der Corput and metric theorems for geometric progressions for self-similar measures
Amir Algom, Yuanyang Chang, Meng Wu +1
We prove a van der Corput lemma for non-atomic self-similar measures . As an application, we show that the correlations of all finite orders of conver…