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Stochastic Partial Differential Equations and Related Fields

Overview of attention for book
Cover of 'Stochastic Partial Differential Equations and Related Fields'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Stationary Fokker–Planck–Kolmogorov Equations
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    Chapter 2 Liouville Property of Harmonic Functions of Finite Energy for Dirichlet Forms
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    Chapter 3 Regularization and Well-Posedness by Noise for Ordinary and Partial Differential Equations
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    Chapter 4 An Introduction to Singular SPDEs
  6. Altmetric Badge
    Chapter 5 Fokker–Planck Equations in Hilbert Spaces
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    Chapter 6 Stochastic and Deterministic Constrained Partial Differential Equations
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    Chapter 7 SPDEs with Volterra Noise
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    Chapter 8 Hitting Probabilities for Systems of Stochastic PDEs: An Overview
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    Chapter 9 Curvature Motion Perturbed by a Direction-Dependent Colored Noise
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    Chapter 10 Poisson Stochastic Process and Basic Schauder and Sobolev Estimates in the Theory of Parabolic Equations (Short Version)
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    Chapter 11 Dynamics of SPDEs Driven by a Small Fractional Brownian Motion with Hurst Parameter Larger than 1/2
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    Chapter 12 On the well-posedness of SPDEs with singular drift in divergence form
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    Chapter 13 Lower Bounds for Weak Approximation Errors for Spatial Spectral Galerkin Approximations of Stochastic Wave Equations
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    Chapter 14 Estimates for Nonlinear Stochastic Partial Differential Equations with Gradient Noise via Dirichlet Forms
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    Chapter 15 Random Data Cauchy Problem for Some Dispersive Equations
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    Chapter 16 SPDEs and Renormalisation
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    Chapter 17 Recent Progress on Stochastic Nonlinear Schrödinger Equations
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    Chapter 18 Generalized Solutions to Nonlinear Fokker–Planck Equations with Linear Drift
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    Chapter 19 Examples of renormalized SDEs
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    Chapter 20 Generalised Weitzenböck Formulae for Differential Operators in Hörmander Form
  22. Altmetric Badge
    Chapter 21 On the Rough Gronwall Lemma and Its Applications
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    Chapter 22 Doubly Damped Stochastic Parallel Translations and Hessian Formulas
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    Chapter 23 Synchronization, Lyapunov Exponents and Stable Manifolds for Random Dynamical Systems
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    Chapter 24 Nonlinear Fokker–Planck–Kolmogorov Equations for Measures
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    Chapter 25 Coupling by Change of Measure, Harnack Inequality and Hypercontractivity
  27. Altmetric Badge
    Chapter 26 Multidimensional Singular Stochastic Differential Equations
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    Chapter 27 Invariant, Super and Quasi-martingale Functions of a Markov Process
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    Chapter 28 Mean Value Inequalities for Jump Processes
  30. Altmetric Badge
    Chapter 29 Positivity Preserving Semigroups and Positivity Preserving Coercive Forms
  31. Altmetric Badge
    Chapter 30 Some Thoughts and Investigations on Densities of One-Parameter Operator Semi-groups
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    Chapter 31 Strong Uniqueness of Dirichlet Operators Related to Stochastic Quantization Under Exponential Interactions in One-Dimensional Infinite Volume
  33. Altmetric Badge
    Chapter 32 A Probabilistic Proof of the Breakdown of Besov Regularity in L -Shaped Domains
  34. Altmetric Badge
    Chapter 33 Symmetric Markov Processes with Tightness Property
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    Chapter 34 From non-symmetric particle systems to non-linear PDEs on fractals
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    Chapter 35 Probabilistic Approach to the Stochastic Burgers Equation
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    Chapter 36 Equilibrium States, Phase Transitions and Dynamics in Quantum Anharmonic Crystals
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    Chapter 37 On Continuous Coding
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    Chapter 38 Infinite-Dimensional Stochastic Differential Equations with Symmetry
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    Chapter 39 Recent Progress on the Dirichlet Forms Associated with Stochastic Quantization Problems
Attention for Chapter 34: From non-symmetric particle systems to non-linear PDEs on fractals
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About this Attention Score

  • Average Attention Score compared to outputs of the same age
  • Above-average Attention Score compared to outputs of the same age and source (62nd percentile)

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Chapter title
From non-symmetric particle systems to non-linear PDEs on fractals
Chapter number 34
Book title
Stochastic Partial Differential Equations and Related Fields
Published in
arXiv, February 2017
DOI 10.1007/978-3-319-74929-7_34
Book ISBNs
978-3-31-974928-0, 978-3-31-974929-7
Authors

Joe P. Chen, Michael Hinz, Alexander Teplyaev, Chen, Joe P., Hinz, Michael, Teplyaev, Alexander

View on publisher site
X Demographics

X Demographics

The data shown below were collected from the profiles of 5 X users who shared this research output. Click here to find out more about how the information was compiled.
 Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 3 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 2 67%
Unknown 1 33%
Readers by discipline Count As %
Mathematics 1 33%
Neuroscience 1 33%
Unknown 1 33%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 2. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 15 February 2017.
All research outputs
#14,331,382
of 22,953,506 outputs
Outputs from arXiv
#284,676
of 941,790 outputs
Outputs of similar age
#231,053
of 424,210 outputs
Outputs of similar age from arXiv
#5,609
of 17,072 outputs
Altmetric has tracked 22,953,506 research outputs across all sources so far. This one is in the 35th percentile – i.e., 35% of other outputs scored the same or lower than it.
So far Altmetric has tracked 941,790 research outputs from this source. They receive a mean Attention Score of 3.9. This one has gotten more attention than average, scoring higher than 65% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 424,210 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 43rd percentile – i.e., 43% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 17,072 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 62% of its contemporaries.

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