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Stochastic Processes

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Stochastic Processes

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Research Frontiers in Hawkes Point Processes

Analysis of self-exciting point processes where event arrivals cluster temporally with applications in seismology and finance.

Self-Exciting Dynamics in High-Dimensional Systems
Hawkes Processes Beyond Exponential Decay Kernels
Clustering Inference in Multivariate Point Patterns
Jump-Driven Feedback Mechanisms in Marked Processes
Hawkes Processes with Memory Adaptation and Learning
Causal Reconstruction from Incomplete Temporal Event Data
Phase Transitions in Criticality of Self-Exciting Systems
Interacting Hawkes Processes in Network Topologies
Rare Events and Tail Behavior in Branching Processes
Hawkes Processes with State-Dependent Intensity Modulation

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