Tensor Network Renormalization as an Ultra-calculus for Complex System Dynamics
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Frédéric Gibou | Samira Pakravan | Pouria A. Mistani | Pouria Mistani | Frédéric Gibou | Pouria Mistani | Samira Pakravan
[1] Frédéric Gibou,et al. The island dynamics model on parallel quadtree grids , 2018, J. Comput. Phys..
[2] Ernest Nagel,et al. The Structure of Science , 1962 .
[3] K. Wilson,et al. The Renormalization group and the epsilon expansion , 1973 .
[4] Frédéric Gibou,et al. A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization , 2018, J. Comput. Phys..
[5] Herbert A. Simon,et al. The Sciences of the Artificial , 1970 .
[6] S. Torquato,et al. Reconstructing random media , 1998 .
[7] T. Cao,et al. The conceptual foundations and the philosophical aspects of renormalization theory , 1993, Synthese.
[8] Michael Levin,et al. Bioelectric gene and reaction networks: computational modelling of genetic, biochemical and bioelectrical dynamics in pattern regulation , 2017, Journal of The Royal Society Interface.
[9] F. Dyson. The Radiation Theories of Tomonaga, Schwinger, and Feynman , 1949 .
[10] Shuo Yang,et al. Loop Optimization for Tensor Network Renormalization. , 2015, Physical review letters.
[11] Christopher T. Chubb,et al. Hand-waving and interpretive dance: an introductory course on tensor networks , 2016, 1603.03039.
[12] Dynamical scaling of matter density correlations in the Universe An application of the dynamical renormalization group , 1999, astro-ph/9901208.
[13] S. Havlin,et al. Self-similarity of complex networks , 2005, Nature.
[14] Leo P. Kadanoff,et al. Real Space Renormalization in Statistical Mechanics , 2013, 1301.6323.
[15] Jeremy Butterfield,et al. Renormalization for Philosophers , 2013, 1406.4532.
[16] M. Levin,et al. Transmembrane voltage potential of somatic cells controls oncogene-mediated tumorigenesis at long-range , 2014, Oncotarget.
[17] Michael Levin,et al. Large-scale biophysics: ion flows and regeneration. , 2007, Trends in cell biology.
[18] Glen Evenbly. Algorithms for tensor network renormalization , 2017 .
[19] Eleanor Knox,et al. Emergence without limits: The case of phonons , 2018, Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics.
[20] Jeremy Butterfield,et al. Less is Different: Emergence and Reduction Reconciled , 2011, 1106.0702.
[21] A. Mathews. ELECTRICAL POLARITY IN THE HYDROIDS , 1903 .
[22] W. Bialek,et al. Are Biological Systems Poised at Criticality? , 2010, 1012.2242.
[23] Giuseppe Longo,et al. Toward a theory of organisms: Three founding principles in search of a useful integration. , 2016, Progress in biophysics and molecular biology.
[24] Jeremy Butterfield,et al. Reduction, Emergence and Renormalization , 2014, 1406.4354.
[25] C. Condon,et al. Type A and B RNase P RNAs are interchangeable in vivo despite substantial biophysical differences , 2006, EMBO reports.
[26] Jona-Lasinio,et al. Instability of tunneling and the concept of molecular structure in quantum mechanics: The case of pyramidal molecules and the enantiomer problem. , 1986, Physical review. A, General physics.
[27] Jeremy Butterfield,et al. Emergence, Reduction and Supervenience: A Varied Landscape , 2011, 1106.0704.
[28] L. Kadanoff,et al. Some Critical Properties of the Eight-Vertex Model , 1971 .
[29] K. Wilson. The renormalization group: Critical phenomena and the Kondo problem , 1975 .
[30] E. J. Lund. Experimental control of organic polarity by the electric current. V. The nature of the control of organic polarity by the electric current , 1925 .
[31] F. Verstraete,et al. Computational complexity of projected entangled pair states. , 2007, Physical review letters.
[32] G. Evenbly,et al. Tensor Network States and Geometry , 2011, 1106.1082.
[33] White,et al. Density-matrix algorithms for quantum renormalization groups. , 1993, Physical review. B, Condensed matter.
[34] Michael Levin,et al. Tensor renormalization group approach to two-dimensional classical lattice models. , 2006, Physical review letters.
[35] William Bialek,et al. Statistics of Natural Images: Scaling in the Woods , 1993, NIPS.
[36] Frédéric Gibou,et al. Rate equations and capture numbers with implicit islands correlations , 2001 .
[37] Elmer Julius Lund,et al. Bioelectric fields and growth , 1947 .
[38] N. Goldenfeld. Lectures On Phase Transitions And The Renormalization Group , 1972 .
[39] Morton W. Miller,et al. Relationship of 60-Hz electric-field parameters to the inhibition of growth ofPisum sativum roots , 1981, Radiation and environmental biophysics.
[40] Serena Bradde,et al. PCA Meets RG , 2016, Journal of Statistical Physics.
[41] D. Pines,et al. The theory of everything. , 2000, Proceedings of the National Academy of Sciences of the United States of America.
[42] Michael E. Fisher,et al. The renormalization group in the theory of critical behavior , 1974 .
[43] S. Osher,et al. Island dynamics and the level set method for epitaxial growth , 1999 .
[44] Xiao-Gang Wen,et al. Tensor-entanglement renormalization group approach as a unified method for symmetry breaking and topological phase transitions , 2008 .
[45] A. Onuki. Phase Transition Dynamics: Statics , 2002 .
[46] White,et al. Density matrix formulation for quantum renormalization groups. , 1992, Physical review letters.
[47] Akira Onuki,et al. Phase Transition Dynamics , 2000 .
[48] G. Evenbly,et al. Tensor Network Renormalization. , 2014, Physical review letters.
[49] L. Kadanoff. Scaling laws for Ising models near T(c) , 1966 .
[50] F. Dyson. The S Matrix in Quantum Electrodynamics , 1949 .
[51] Y. Pomeau,et al. Lattice-gas automata for the Navier-Stokes equation. , 1986, Physical review letters.
[52] M. Levin,et al. Endogenous Voltage Potentials and the Microenvironment: Bioelectric Signals that Reveal, Induce and Normalize Cancer. , 2014, Journal of clinical & experimental oncology.
[53] S. Baker. A cancer theory kerfuffle can lead to new lines of research. , 2014, Journal of the National Cancer Institute.
[54] K. Wilson. Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture , 1971 .
[55] C. Sonnenschein,et al. The tissue organization field theory of cancer: A testable replacement for the somatic mutation theory , 2011, BioEssays : news and reviews in molecular, cellular and developmental biology.
[56] Hernán A Makse,et al. Small-world to fractal transition in complex networks: a renormalization group approach. , 2009, Physical review letters.
[57] Mark E. J. Newman,et al. Power-Law Distributions in Empirical Data , 2007, SIAM Rev..
[58] R. Nuccitelli,et al. Electrical controls of development. , 1977, Annual review of biophysics and bioengineering.
[59] Roman Orus,et al. A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States , 2013, 1306.2164.