Easy Reads / Overviews

• Networking
  • The Multiscale Nature of Network Traffic: Discovery, Analysis, and Modelling [Abstract and Bibliography]
  • Long-Range Dependence and Data Network Traffic [Abstract and Bibliography]
  • Toward an Improved Understanding of Network Traffic Dynamics [Abstract and Bibliography]

• Multiscale Modeling and Inference  Simple reads for the untouched mind:
  • Slide talk: From Cascades to Multifractal Processes
  • Rice Tech report: An introduction to multifractals [Abstract and Bibliography]
  • Introductory Section of Multifractal Processes.

• Talks

Statistical Estimation:

• Tail estimation
  • Diverging moments and parameter estimation [Abstract and Bibliography]
  • Diverging moments, Characteristic Regularity and Wavelets [Abstract and Bibliography]
    
• Inference of Long Memory (LRD)
  • Zooming Statistics: Inference across scales [Abstract and Bibliography]
  • Long-Range Dependence: Now you see it now you don't! [Abstract and Bibliography]
• Scaling-parameter Estimation (Method of Moments)
  • Wavelet Analysis of Fractional Brownian Motion in Multifractal Time [Abstract and Bibliography]
  • An Improved Multifractal Formalism and Self-Similar Measures [Abstract and Bibliography]
  • Numerical Estimates of Generalized Dimensions D_q for Negative q [Abstract and Bibliography]
• Sampling and probing
  • Optimal sampling strategies for multiscale stochastic processes [Abstrac and Bibliographyt]
    
  • Optimal Multiscale Sampling Strategies with application to networking [Abstract and Bibliography],
  • Model-based Multiscale Cross-Traffic Estimation from limited samples [Abstract]
  • Spatio-Temporal Available Bandwidth Estimation with STAB [Abstract and Bibliography]

Traffic modeling in Networks:

• Overviews
  
  • The Multiscale Nature of Network Traffic: Discovery, Analysis, and Modelling [Abstract and Bibliography]
  • Long-Range Dependence and Data Network Traffic [Abstract and Bibliography]
• Non-Gaussianity: Cause and Modeling
  • Network and User Driven On-Off Source Model for Network Traffic [Abstract and Bibliography]
    
  • Network Traffic Modeling using Connection-Level Information [Abstract and Bibliography]
• Finite Sampling for Cross-traffic Inference
  • Spatio-Temporal Available Bandwidth Estimation with STAB [Abstract and Bibliography]
  • pathChirp: Efficient Available Bandwidth Estimation for Network Paths [Abstract and Bibliography], Best Student Paper Award
  • Multifractal Cross-Traffic Estimation [Abstract and Bibliography]
  • Optimal Multiscale Sampling Strategies with application to networking [Abstract and Bibliography],
• Queuing in a Multiscale Setting
  • Multiscale Queuing Analysis of Long-Range-Dependent Network Traffic [Abstract and Bibliography
• Statistical workload models
  • Multifractal Wavelet Model with Application to TCP Network Traffic [Abstract and Bibliography]
  • Network and User Driven On-Off Source Model for Network Traffic [Abstract and Bibliography]
  • Connection-Level Modeling of Network Traffic (fractional Brownian motion versus Levy stable motion) [Abstract and Bibliography]
• Discovery of Scaling in Network traces
  • Multifractal Properties of TCP Traffic: a Numerical Study, [Revised and condensed version] [Abstract and Bibliography]

Broadcast in ad hoc networks

• Algorithms
  • Color-Based Broadcasting for Ad Hoc Networks [Abstract and Bibliography]
  • DRB and DCCB: Efficient and Robust Dynamic Broadcast for Ad Hoc and Sensor Networks [Abstract and Bibliography]
• Capacity
  • Broadcast Capacity in Multihop Wireless Networks [Abstract and Bibliography]
  • On the Broadcast Capacity of Multihop Wireless Networks: Interplay of Power, Density and Interference [Abstract and Bibliography]
• Dynamics
  • Broadcast Flooding Revisited: Survivability and Latency [Abstract and Bibliography]
• Mobility
  • Describing MANETS: Principal Component Analysis of Sparse Mobility Traces [Abstract and Bibliography]

Internet Delay Space

• Measurement-Based Analysis, Modeling, and Synthesis of the Internet Delay Space [Abstract]
  

E-commerce

• Profiling Clients and Shop-Robots
  • Analyzing Robot Behavior and their Impact on Caching [Abstract and Bibliography]
• E-workload
  • A Hierarchical and Multiscale Analysis of E-Business Workloads [Abstract and Bibliography]

Multiscale models for financial, network and physical data:

• Introductions and overviews
  • Slide talk: From Cascades to Multifractal Processes
  • Rice Tech report: An introduction to multifractals [Abstract and Bibliography]
  • Basis of Multifractal Theory: Multifractal Processes
• Multifractal Subordination
  • Multifractal Processes [Summary] [Abstract and Bibliography]
• Products of stationary Processes
  • Multifractal products of stochastic processes: construction and some basic properties [Abstract and Bibliography]
  • Multifractals, Random Partitions, and Products of Stochastic Processes (Tech Report)
    

• Infinitely Divisible Cascades
  • Compound Poisson Cascades [Abstract and Bibliography]
  • On Non-Scale-Invariant Infinitely Divisible Cascades [Abstract and Bibliography] 
• Multifractal Cascades
  • Exceptions to the Multifractal Formalism for Discontinuous Measures, [Abstract and Bibliography]
  • Inversion formula for Continuous Multifractals, [Abstract and Bibliography]
  • Multifractal Formalism for Infinite Multinomial Measures [Abstract and Bibliography]
  • An Improved Multifractal Formalism and Self-affine Measures [Summary (6 pages)] [Abstract and Bibliography]
• Ergodicity
  • Attracteurs, orbites et ergodicité [Abstract and Bibliography]

Other applications of multifractals:

• Imaging
  • Multiplicative Multiscale Image Decompositions: Analysis and Modeling [Abstract and Bibliography]
  • Multiscale Image Segmentation using Joint Texture and Shape analysis [Abstract and Bibliography]
• Turbulence
  • Warped infinitely divisible cascades: beyond power laws [Abstract and Bibliography]
  • Compound Poisson Cascades [Abstract and Bibliography]
• Geophysics 
  • Multifractals and Wavelets: A potential tool in Geophysics [Abstract and Bibliography]
• Medical: Hemodynamics
  • Origin of Fractal Branching Complexity in the Lung