Results 41 to 50 of about 468,741 (299)

Wavelets and graph $C^*$-algebras

, 2016
Here we give an overview on the connection between wavelet theory and representation theory for graph $C^{\ast}$-algebras, including the higher-rank graph $C^*$-algebras of A. Kumjian and D. Pask.
A. Jonsson, A. Kumjian, A. Kumjian, A. Kumjian, A. Kumjian, A. Kumjian, A. Sims, A. Sims, A. Skalski, C. Farsi, C. Farthing, D. Dutkay, D. Hammond, D. Hammond, D. Pask, D. Pask, D. Pask, D. Pask, D. Pask, D.E. Dutkay, D.E. Dutkay, D.G. Evans, D.I. Robertson, D.I. Robertson, D.W. Kribs, F.K. Chung, G. Robertson, G. Robertson, I. Raeburn, J. Spielberg, J.E. Hutchinson, K.R. Davidson, K.R. Davidson, M. Marcolli, N. Brownlowe, O. Bratteli, R. Strichartz, S. Mallat, S. Power, T. Carlsen   +39 more
core   +1 more source

Asymptotic tensor rank of graph tensors: beyond matrix multiplication [PDF]

, 2019
We present an upper bound on the exponent of the asymptotic behaviour of the tensor rank of a family of tensors defined by the complete graph on $k$ vertices.
Christandl, Matthias, Vrana, Péter, Zuiddam, Jeroen   +2 more
core   +4 more sources

A Tight Lower Bound on the Controllability of Networks with Multiple Leaders [PDF]

, 2012
In this paper we study the controllability of networked systems with static network topologies using tools from algebraic graph theory. Each agent in the network acts in a decentralized fashion by updating its state in accordance with a nearest-neighbor ...
Abbas, Waseem, Egerstedt, Magnus, Yazicioglu, Ahmet Yasin   +2 more
core   +2 more sources

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source

A Preliminary Report of Network Electroencephalographic Measures in Primary Progressive Apraxia of Speech and Aphasia

Brain Sciences, 2022
The objective of this study was to characterize network-level changes in nonfluent/agrammatic Primary Progressive Aphasia (agPPA) and Primary Progressive Apraxia of Speech (PPAOS) with graph theory (GT) measures derived from scalp electroencephalography (
Rene L. Utianski, Hugo Botha, John N. Caviness, Gregory A. Worrell, Joseph R. Duffy, Heather M. Clark, Jennifer L. Whitwell, Keith A. Josephs   +7 more
doaj   +1 more source

PARP inhibitors elicit distinct transcriptional programs in homologous recombination competent castration‐resistant prostate cancer

Molecular Oncology, EarlyView.
PARP inhibitors are used to treat a small subset of prostate cancer patients. These studies reveal that PARP1 activity and expression are different between European American and African American prostate cancer tissue samples. Additionally, different PARP inhibitors cause unique and overlapping transcriptional changes, notably, p53 pathway upregulation.
Moriah L. Cunningham, Jasibel Vasquez‐Gonzalez, Samantha M. Barnada, Salome Tchotorlishvili, Latese Jones, Ryan Maguire, Genevieve Lewis, Kinza Rizwan, Jenny Deng, Salma Koachar, Drithi Patel, Hailey Shankle, Tessa Mulders, Namra Ajmal, Charalambos Solomides, Emad S. Alnemri, Teresa F. Alnemri, Ayesha A. Shafi, Leonard G. Gomella, Wm Kevin Kelly, Steven B. McMahon, Matthew J. Schiewer   +21 more
wiley   +1 more source

Who is the best player ever? A complex network analysis of the history of professional tennis. [PDF]

PLoS ONE, 2011
We considered all matches played by professional tennis players between 1968 and 2010, and, on the basis of this data set, constructed a directed and weighted network of contacts.
Filippo Radicchi
doaj   +1 more source

Application of graph theory to the morphological analysis of settlements

, 2017
In the following paper, the analyses of morphology of settlements were conducted using graph methods. The intention of the author was to create a quantifiable and simple measure, which, in a quantitative way, would express the degree of development of a ...
Szmytkie Robert
semanticscholar   +2 more sources

Emerging role of ARHGAP29 in melanoma cell phenotype switching

Molecular Oncology, EarlyView.
This study gives first insights into the role of ARHGAP29 in malignant melanoma. ARHGAP29 was revealed to be connected to tumor cell plasticity, promoting a mesenchymal‐like, invasive phenotype and driving tumor progression. Further, it modulates cell spreading by influencing RhoA/ROCK signaling and affects SMAD2 activity. Rho GTPase‐activating protein
Beatrice Charlotte Tröster, Melanie Kappelmann‐Fenzl, Anja Katrin Bosserhoff, Nicole Rachinger   +3 more
wiley   +1 more source

Extending the planar theory of anyons to quantum wire networks

SciPost Physics
The braiding of the worldlines of particles restricted to move on a network (graph) is governed by the graph braid group, which can be strikingly different from the standard braid group known from two-dimensional physics.
Tomasz Maciazek, Mia Conlon, Gert Vercleyen, J. K. Slingerland
doaj   +1 more source