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Symmetry breaking in distributed networks

Alon Itai, Michael Rodeh
1990 Information and Computation  
(For a use of probabilistic algorithms for symmetry breaking in a shared memory environment, see [R2].)  ...  Our theme is that to break symmetry one can develop a probabilistic routine to suggest and improve solutions together with a routine to test the correctness of the proposed solution.  ...  Here we have investigated the effects of symmetry on distributed and randomized algorithms.  ... 
doi:10.1016/0890-5401(90)90004-2 fatcat:uxdknwpaona7xj7ygahziisrue

Symmetry breaking meets multisite modification

Vaidhiswaran Ramesh, J Krishnan
2021 eLife  
Overall, through our study we show how symmetry breaking (i) can confer new capabilities to protein networks, including concentration robustness of different combinations of species (in conjunction with  ...  We demonstrate that under different instances of symmetry of the modification network (invoked explicitly or implicitly and discussed in the literature), the biochemistry of multisite modification can  ...  breaking in other networks with analytical results, including necessary and sufficient conditions for symmetry breaking.  ... 
doi:10.7554/elife.65358 fatcat:wk45ry35vrfm7p2hwxzjvq7xba

Network Robustness: Detecting Topological Quantum Phases [article]

Chung-Pin Chou
2014 arXiv   pre-print
The answer to this question is particularly interesting to understand the nature of phase transitions if the distinct phases do not break any symmetry, such as topological phase transitions.  ...  Can the topology of a network that consists of many particles interacting with each other change in complexity when a phase transition occurs?  ...  This is a clear picture that Landau's symmetry breaking theory works well even in network space.  ... 
arXiv:1408.1183v1 fatcat:gwicrtk25zh2xb2fqtagy5aslu

Symmetry breaking meets multisite modification

Vaidhiswaran Ramesh, J Krishnan
2021 eLife  
Overall, through our study we show how symmetry breaking (i) can confer new capabilities to protein networks, including concentration robustness of different combinations of species (in conjunction with  ...  We demonstrate that under different instances of symmetry of the modification network (invoked explicitly or implicitly and discussed in the literature), the biochemistry of multisite modification can  ...  symmetry breaking in other networks with analytical results, including necessary and sufficient conditions for symmetry breaking.  ... 
doi:10.7554/elife.65358 pmid:34018920 pmcid:PMC8439660 fatcat:tfm53e4xwfelplknjokqzrbgh4

Interplay between membrane tension and the actin cytoskeleton determines shape changes

Camille Simon, Valentina Caorsi, Clément Campillo, Cécile Sykes
2018 Physical Biology  
-For > 0.5, we state that there is an asymmetry in the actin network that may reveal a symmetry breaking event (Figure S1 (a, b, c, d ) that will be further analyzed by the width of the fluorescence distribution  ...  Role of capping proteins (CP) in actin-based symmetry breaking To investigate the role of CP in actin-based symmetry breaking, we reconstitute an actin network in the absence of CP at the outer surface  ... 
doi:10.1088/1478-3975/aad1ab pmid:29978835 fatcat:3ko7veutavhhrbyxe4b3fbixdu

Quasilossless acoustic transmission in an arbitrary pathway of a network

Hongqing Dai, Tingting Liu, Baizhan Xia, Dejie Yu
2017 Physical review B  
Up to now, it is still a challenge to control the propagation of the sound wave in an arbitrary pathway of a network.  ...  Here, we design a symmetry breaking cross-shape metamaterial comprised of Helmholtz resonant cells and a square column. The square column is eccentrically arranged.  ...  The sound pressure field distributions of six cases at 3995Hz are plotted in (a)-(f) Modal analysis of the symmetry breaking cross-shape metamaterial.  ... 
doi:10.1103/physrevb.95.054109 fatcat:jeowjwgvxfg6zcbyq4q57vf72m

In Silico Reconstitution of Actin-Based Symmetry Breaking and Motility

Mark J. Dayel, Orkun Akin, Mark Landeryou, Viviana Risca, Alex Mogilner, R. Dyche Mullins, Thomas Pollard
2009 PLoS Biology  
In this model, symmetry breaking occurs when new actin network, continuously deposited at the surface of the bead, displaces older portions of the network radially outward.  ...  An Elastic Gel model has been successful in explaining how these networks break symmetry, but how they produce directed motile force has been less clear.  ...  Mechanics of Symmetry Breaking Our simulations provide detailed information about the mechanism of symmetry breaking, e.g., the network motion, distribution of forces and ripping of the network ( Figure  ... 
doi:10.1371/journal.pbio.1000201 pmid:19771152 pmcid:PMC2738636 fatcat:opbdcw3iwvefffymafc23iowle

Network Robustness: Detecting Topological Quantum Phases

Chung-Pin Chou
2014 Scientific Reports  
breaking (namely, a reduction of the network robustness), and (ii) the complex many-body network analysis can be applied to other phase transitions without a prior knowledge of the system's symmetry.  ...  A major problem is, however, that in some cases it is unclear how to extract important information from the correlation functions if these phases do not break any symmetries, such as topological phase  ...  This is a clear picture that Landau's symmetry breaking theory works well even in network space.  ... 
doi:10.1038/srep07526 pmid:25516369 pmcid:PMC4268653 fatcat:lmcvyx6l5jcnrpn7ndv4koyloq

Emerging chimera states under non-identical counter-rotating oscillators [article]

K. Sathiyadevi, V. K. Chandrasekar, M. Lakshmanan
2022 arXiv   pre-print
breaking behavior in the initial state space.  ...  To demonstrate the occurrence of such partial symmetry breaking (chimera) state, we use basin stability analysis and discover that PSB exists as a result of the coexistence of symmetry preserving and symmetry  ...  Because of the multistable nature, we find the partial symmetry breaking states (co-existence of symmetry preserving and symmetry breaking dynamical behavior) in the larger network.  ... 
arXiv:2203.03015v1 fatcat:sgsvyng6yfenvblq6xf7ie5oom

Robustness of complex many-body networks: Novel perspective in 2D metal-insulator transition [article]

Chung-Pin Chou
2014 arXiv   pre-print
We demonstrate that whether or not the symmetry is broken in real space a variety of phase transitions in condensed matters can be characterized by the hidden symmetry breaking in the weighted network,  ...  We then show that a network quantity, small-worldness, is capable of identifying the phase transition with/without any symmetry breaking in the real space and behaving as a new order parameter in the network  ...  Most of calculations are performed in the National Center for High-performance Computing in Taiwan.  ... 
arXiv:1402.2057v2 fatcat:k6jwiukhajarzhndmbzz3vtpxa

How actin network dynamics control the onset of actin-based motility

A. Kawska, K. Carvalho, J. Manzi, R. Boujemaa-Paterski, L. Blanchoin, J.-L. Martiel, C. Sykes
2012 Proceedings of the National Academy of Sciences of the United States of America  
Our results are summarized in a morphology diagram of actin gel and symmetry breaking occurrence around beads providing the link between observed macroscopic properties and microscopic parameters controlled  ...  | modeling | symmetry breaking I n eukaryotic cells, actin network formation and self-organization drive a variety of cellular processes including cell polarization, cell motility, and morphogenesis.  ...  In our conditions, 25 primers are necessary on average to  ... 
doi:10.1073/pnas.1117096109 pmid:22908255 pmcid:PMC3437907 fatcat:fu4mwai5qfey7cvujtlnesun2y

Symmetry breaking in reconstituted actin cortices

Abu Shah Enas, Keren Kinneret
2013 Frontiers in Immunology  
In all these contexts, the cortical network has to break symmetry to generate polar cytoskeletal dynamics.  ...  Despite extensive research, the mechanisms responsible for regulating cortical dynamics in vivo and inducing symmetry breaking are still unclear.  ...  Cortical symmetry breaking is myosin-dependent and requires sufficient network connectivity Our reconstituted system allowed us to investigate the biochemical requirements for symmetry breaking in the  ... 
doi:10.3389/conf.fimmu.2013.02.01001 fatcat:kn2weumxefgbzovf7sgqnq7k3m

Symmetry breaking in reconstituted actin cortices

Enas Abu Shah, Kinneret Keren
2014 eLife  
In all these contexts, the cortical network has to break symmetry to generate polar cytoskeletal dynamics.  ...  Despite extensive research, the mechanisms responsible for regulating cortical dynamics in vivo and inducing symmetry breaking are still unclear.  ...  Cortical symmetry breaking is myosin-dependent and requires sufficient network connectivity Our reconstituted system allowed us to investigate the biochemical requirements for symmetry breaking in the  ... 
doi:10.7554/elife.01433 pmid:24843007 pmcid:PMC3996625 fatcat:rny4cd75ovh7vnyrwtxrbsntky

Understanding Electronic Peculiarities in Tetragonal FeSe as Local Structural Symmetry Breaking [article]

Zhi Wang, Xingang Zhao, Robert Koch, Simon J. L. Billinge, Alex Zunger
2020 arXiv   pre-print
By removing the constraint of a small crystallographic cell, the energy minimization in the density functional theory finds atomic and spin symmetry breaking, not evident in conventional diffraction experiments  ...  This can happen either due to positional, or due to magnetic symmetry breaking.  ...  The work in the Zunger group and Billinge group was supported by the US National Science Foundation through grant DMREF-1921949.  ... 
arXiv:1911.02670v8 fatcat:dyonv5wngvctjbxnpoo5jsxtyi

Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlators [article]

Anindita Maiti, Keegan Stoner, James Halverson
2021 arXiv   pre-print
We demonstrate that the amount of symmetry in the initialization density affects the accuracy of networks trained on Fashion-MNIST, and that symmetry breaking helps only when it is in the direction of  ...  Symmetry-via-duality relies on invariance properties of the correlation functions, which stem from the choice of network parameter distributions.  ...  This non-zero mean breaks symmetry in the first k network components, and since SO(D) symmetry is restored in the µ W l → 0 limit, µ W l and k together control the amount of symmetry breaking.  ... 
arXiv:2106.00694v1 fatcat:aevfezzegrgepblpiboufregou
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