Results 41 to 50 of about 534 (145)
Persistent sheaf Laplacian analysis of protein stability and solubility changes upon mutation
Abstract Genetic mutations frequently disrupt protein structure, stability, and solubility, acting as primary drivers for a wide spectrum of diseases. Despite the critical importance of these molecular alterations, existing computational models often lack interpretability and fail to integrate essential physicochemical interactions.
Yiming Ren +4 more
wiley +1 more source
The Mathematical History Behind the Granger–Johansen Representation Theorem
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework
ABSTRACT This article develops a framework for understanding learning and adaptation in complex adaptive systems. Drawing from neuroscience, systems theory, information theory and quantum field theory, it examines how information processing, plasticity and systemic coherence emerge from distributed, nonlinear and feedback‐driven interactions. It argues
Anderson de Souza Sant'Anna
wiley +1 more source
An Algebraic Study of Parametric Stokes Phenomena
ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley +1 more source
Constraints on energy-density current- denstiy commutators
Abstract Following a recent analysis on correlations between Schwinger terms and the structure of the energy-density operator, it is shown that whenever the local generalization of the Heisenberg equations of motion for the generators of the internal symmetry group holds, then possible q-number Schwinger terms in equal time commutators involving ...
A. Casher, L. Gomberoff
openaire +1 more source
On some integral properties of dimensions in Isaacs fusion categories
Abstract For a fusion category, we prove some new integrality properties concerning the dimension of a simple object that generates an Isaacs fusion subcategory. If any such fusion subcategory is Isaacs, this implies that C$\mathcal {C}$ is a Frobenius‐type fusion category. A stronger divisibility result is proven for any modular fusion category.
Sebastian Burciu
wiley +1 more source
Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT
Abstract To connect conformal field theories (CFTs) to probabilistic lattice models, recent works of Hongler et al. and Adame‐Carrillo have introduced a novel definition of local fields of the lattice models. Local fields in this picture are probabilistically concrete: they are built from random variables in the model.
David Adame‐Carrillo +2 more
wiley +1 more source
Commutator anomaly for the Gauss law constraint operator
Abstract A formula useful for evaluating the commutator anomaly for the Gauss law constraint operator is presented. This formula makes the perturbative calculation of the anomaly much simpler than previous attempts. Furthermore, the commutator anomaly is shown to be derived directly from the non-abelian chiral anomaly and the perturbative calculation
Makoto Kobayashi +2 more
openaire +1 more source
On commutativity of rings with constraints involving a nil subset
The main theorem of this paper is that a ring R with unity is commutative if and only if there is a nil subset B of R such thatl. for each x ? R, either x ? Z(R) or there is a polynormial f over Z with x - x2 f (x) ? B;2. for each x, y x ? R, there are non-negative integers n > 1, m, r, s depending on a pair of ring elements x,y with x(xmy ± xrynxs)
H. A. S. Abujabal +2 more
openaire +2 more sources
Binary Constraint System Games and Locally Commutative Reductions
21 pages, 6 figures; v2 contains an explicit proof of Lemma 4, a theorem on HORN-SAT* and several extended ...
openaire +2 more sources

