Peter J Mucha

Summary

Affiliation: University of North Carolina
Country: USA

Publications

  1. doi request reprint Community structure in time-dependent, multiscale, and multiplex networks
    Peter J Mucha
    Carolina Center for Interdisciplinary Applied Mathematics, Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599, USA
    Science 328:876-8. 2010
  2. pmc Graph fission in an evolving voter model
    Richard Durrett
    Department of Mathematics, Duke University, Box 90320, Durham, NC 27708, USA
    Proc Natl Acad Sci U S A 109:3682-7. 2012
  3. ncbi request reprint Multiopinion coevolving voter model with infinitely many phase transitions
    Feng Shi
    Department of Mathematics, CB No 3250, University of North Carolina, Chapel Hill, North Carolina 27599 3250, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 88:062818. 2013
  4. pmc Topological data analysis of contagion maps for examining spreading processes on networks
    Dane Taylor
    1 Statistical and Applied Mathematical Sciences Institute, Research Triangle Park, North Carolina 27709, USA 2 Carolina Center for Interdisciplinary Applied Mathematics, Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599, USA
    Nat Commun 6:7723. 2015
  5. ncbi request reprint Nonaxisymmetric high-aspect-ratio ellipsoids under shear: lowest-order correction for finite aspect ratios
    Feng Shi
    Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599, USA and Computation Institute, University of Chicago, Chicago, IL 60637 2616, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 90:013005. 2014
  6. pmc Transient antibody-mucin interactions produce a dynamic molecular shield against viral invasion
    Alex Chen
    Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina
    Biophys J 106:2028-36. 2014
  7. ncbi request reprint Spectral tripartitioning of networks
    Thomas Richardson
    Department of Mathematics, Carolina Center for Interdisciplinary Applied Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599 3250, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 80:036111. 2009

Collaborators

  • Jukka Pekka Onnela
  • Feng Shi
  • Richard Durrett
  • Dane Taylor
  • Alex Chen
  • Mason A Porter
  • Thomas Richardson
  • Heather A Harrington
  • Konstantin Mischaikow
  • Florian Klimm
  • Miroslav Kramár
  • Samuel K Lai
  • Simi Wang
  • Scott A McKinley
  • M Gregory Forest
  • Chris Varghese
  • Alun L Lloyd
  • David Sivakoff
  • James P Gleeson
  • Joshua E S Socolar

Detail Information

Publications7

  1. doi request reprint Community structure in time-dependent, multiscale, and multiplex networks
    Peter J Mucha
    Carolina Center for Interdisciplinary Applied Mathematics, Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599, USA
    Science 328:876-8. 2010
    ..This framework allows studies of community structure in a general setting encompassing networks that evolve over time, have multiple types of links (multiplexity), and have multiple scales...
  2. pmc Graph fission in an evolving voter model
    Richard Durrett
    Department of Mathematics, Duke University, Box 90320, Durham, NC 27708, USA
    Proc Natl Acad Sci U S A 109:3682-7. 2012
    ..Using simulations and approximate calculations, we explain why these two nearly identical models have such dramatically different phase transitions...
  3. ncbi request reprint Multiopinion coevolving voter model with infinitely many phase transitions
    Feng Shi
    Department of Mathematics, CB No 3250, University of North Carolina, Chapel Hill, North Carolina 27599 3250, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 88:062818. 2013
    ..Moreover, the formulas describing the end states of these processes are remarkably simple when expressed as a function of β=α/(1-α). ..
  4. pmc Topological data analysis of contagion maps for examining spreading processes on networks
    Dane Taylor
    1 Statistical and Applied Mathematical Sciences Institute, Research Triangle Park, North Carolina 27709, USA 2 Carolina Center for Interdisciplinary Applied Mathematics, Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599, USA
    Nat Commun 6:7723. 2015
    ..Our approach highlights contagion maps also as a viable tool for inferring low-dimensional structure in networks. ..
  5. ncbi request reprint Nonaxisymmetric high-aspect-ratio ellipsoids under shear: lowest-order correction for finite aspect ratios
    Feng Shi
    Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599, USA and Computation Institute, University of Chicago, Chicago, IL 60637 2616, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 90:013005. 2014
    ....
  6. pmc Transient antibody-mucin interactions produce a dynamic molecular shield against viral invasion
    Alex Chen
    Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina
    Biophys J 106:2028-36. 2014
    ....
  7. ncbi request reprint Spectral tripartitioning of networks
    Thomas Richardson
    Department of Mathematics, Carolina Center for Interdisciplinary Applied Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599 3250, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 80:036111. 2009
    ..S. Congressional networks inferred from roll call voting similarities...