Paper Citation Record · LEDGER

Spectral theory for population density dynamics of spiking neurons with refractoriness

As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.20699.

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pith.paper-citation-record.v1
2607.20699 v1

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measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T09:44:34.644927Z

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40 of 40 outbound references displayed

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Outbound references

Observation 9eddf426-5fcf-43d3-bfc1-25d7b4c82f55 · outbound

This paper cites Asynchronous states in networks of pulse-coupled oscillators.Physical Review E, 48(2):1483–1490, 1993.

Spectral theory for population density dynamics of spiking neurons with refractoriness Asynchronous states in networks of pulse-coupled oscillators.Physical Review E, 48(2):1483–1490, 1993

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:30.617676Z

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Observation 90e73f4e-f4cf-4a06-a6bf-4b366dd0726f · outbound

This paper cites Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex.Cereb.

Spectral theory for population density dynamics of spiking neurons with refractoriness Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex.Cereb

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:30.728294Z

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Observation 6079825b-ff22-4ccb-b87b-a2ba30366337 · outbound

This paper cites Quantitative study of attractor neural network retrieving at low spike rates: I.

Spectral theory for population density dynamics of spiking neurons with refractoriness Quantitative study of attractor neural network retrieving at low spike rates: I

Reference 3

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Observation 2d6687dd-c84b-44d5-883a-889cdc407771 · outbound

This paper cites Low-dimensional spike rate models derived from networks of adaptive integrate-and-fire neurons: comparison and implementation.PLoS Comput.

Spectral theory for population density dynamics of spiking neurons with refractoriness Low-dimensional spike rate models derived from networks of adaptive integrate-and-fire neurons: comparison and implementation.PLoS Comput

Reference 4

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Observation 26bcab1a-0705-435c-9362-d64c1beec61b · outbound

This paper cites A K Peters, Wellesley, MA, 2005.

Spectral theory for population density dynamics of spiking neurons with refractoriness A K Peters, Wellesley, MA, 2005

Reference 5

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Observation f0a6abd0-e952-49de-bf80-7075ac69fc77 · outbound

This paper cites Ergodic behavior of diffusions with random jumps from the boundary.Stochastic processes and their applications, 119(3):864–881, 2009.

Spectral theory for population density dynamics of spiking neurons with refractoriness Ergodic behavior of diffusions with random jumps from the boundary.Stochastic processes and their applications, 119(3):864–881, 2009

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:31.221299Z

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Observation 95d91285-709c-471a-9c95-b1ac82597fc8 · outbound

This paper cites Refractoriness and neural precision.J.

Spectral theory for population density dynamics of spiking neurons with refractoriness Refractoriness and neural precision.J

Reference 7

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Observation 60e8959b-5ac1-43b7-86d7-e0fc48c67a3e · outbound

This paper cites Metastable dynamics of neural circuits and networks.Applied Physics Reviews, 9(1):011313, 2022.

Spectral theory for population density dynamics of spiking neurons with refractoriness Metastable dynamics of neural circuits and networks.Applied Physics Reviews, 9(1):011313, 2022

Reference 8

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Observation 72720393-a386-453e-82ce-1debfe86aa5c · outbound

This paper cites Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons.Journal of computational neuroscience, 8(3):183–208, 2000.

Spectral theory for population density dynamics of spiking neurons with refractoriness Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons.Journal of computational neuroscience, 8(3):183–208, 2000

Reference 9

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Observation e3d8eaa8-5266-4f3b-b852-087735149d6f · outbound

This paper cites Fast global oscillations in networks of integrate-and-fire neurons with low firing rates.Neural computation, 11(7):1621–1671, 1999.

Spectral theory for population density dynamics of spiking neurons with refractoriness Fast global oscillations in networks of integrate-and-fire neurons with low firing rates.Neural computation, 11(7):1621–1671, 1999

Reference 10

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Observation 015115d1-3fd7-4560-ab3f-9d2f4c809b95 · outbound

This paper cites Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states.The Journal of Mathematical Neuroscience, 1:1–33, 2011.

Spectral theory for population density dynamics of spiking neurons with refractoriness Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states.The Journal of Mathematical Neuroscience, 1:1–33, 2011

Reference 11

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Observation 8fc53853-90e9-411c-9308-3a476b27d730 · outbound

This paper cites Solving the two-dimensional fokker-planck equation for strongly correlated neurons.Physical Review E, 95(1):012412, 2017.

Spectral theory for population density dynamics of spiking neurons with refractoriness Solving the two-dimensional fokker-planck equation for strongly correlated neurons.Physical Review E, 95(1):012412, 2017

Reference 12

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Observation 2f7e637b-f21a-458d-bc54-05fe75d76ee2 · outbound

This paper cites One-parameter semigroups for linear evolution equa- tions.Semigroup Forum, 63:278–280, 1999.

Spectral theory for population density dynamics of spiking neurons with refractoriness One-parameter semigroups for linear evolution equa- tions.Semigroup Forum, 63:278–280, 1999

Reference 13

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Observation 3efede20-4f2b-4c09-a4eb-1d3f6d01c5b5 · outbound

This paper cites Collective behavior of networks with linear (vlsi) integrate- and-fire neurons.Neural Computation, 11(3):633–652, 1999.

Spectral theory for population density dynamics of spiking neurons with refractoriness Collective behavior of networks with linear (vlsi) integrate- and-fire neurons.Neural Computation, 11(3):633–652, 1999

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:31.916388Z

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Observation c00f1c0e-768c-47a4-9326-8b13cb1486f8 · outbound

This paper cites Collective behavior of networks with linear (VLSI) integrate- and-fire neurons.Neural Computation, 11(3):633–52, 1999.

Spectral theory for population density dynamics of spiking neurons with refractoriness Collective behavior of networks with linear (VLSI) integrate- and-fire neurons.Neural Computation, 11(3):633–52, 1999

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:32.000581Z

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Observation 8c91a8c7-e752-48dd-841f-0128ed79827e · outbound

This paper cites Time structure of the activity in neural network models.Phys.

Spectral theory for population density dynamics of spiking neurons with refractoriness Time structure of the activity in neural network models.Phys

Reference 16

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Observation 8efc3238-198e-4c08-8273-854687404d8c · outbound

This paper cites Kistler, Richard Naud, and Liam Paninski.Neuronal dynamics: From single neurons to networks and models of cognition.

Spectral theory for population density dynamics of spiking neurons with refractoriness Kistler, Richard Naud, and Liam Paninski.Neuronal dynamics: From single neurons to networks and models of cognition

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:32.130875Z

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Observation b6ec16ba-f54d-4d0e-a394-7158166b6554 · outbound

This paper cites Brownian motion on the figure eight.J.

Spectral theory for population density dynamics of spiking neurons with refractoriness Brownian motion on the figure eight.J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:32.200836Z

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Observation cd8d1a4f-9ea8-4d72-9564-8747a2aca03e · outbound

This paper cites Dynamics of encoding in neuron populations: some general mathematical features.Neural Computation, 12(3):473–518, 2000.

Spectral theory for population density dynamics of spiking neurons with refractoriness Dynamics of encoding in neuron populations: some general mathematical features.Neural Computation, 12(3):473–518, 2000

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:32.351993Z

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Observation 452add7e-c77e-40ef-9b02-ea904084db4a · outbound

This paper cites Dynamical models of interacting neuron populations in visual cortex.

Spectral theory for population density dynamics of spiking neurons with refractoriness Dynamical models of interacting neuron populations in visual cortex

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:32.454750Z

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Observation 2472f176-cc73-420e-bf78-b9368337835b · outbound

This paper cites One dimensional Brownian motion with holding and jumping boundary.Math.

Spectral theory for population density dynamics of spiking neurons with refractoriness One dimensional Brownian motion with holding and jumping boundary.Math

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:32.608714Z

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Observation e7bbfe70-8671-495f-b397-d71071a398c3 · outbound

This paper cites Effects of noise in excitable systems.Phys.

Spectral theory for population density dynamics of spiking neurons with refractoriness Effects of noise in excitable systems.Phys

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:32.704763Z

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Observation 3ad82371-7c94-44f4-a533-235339475803 · outbound

This paper cites Transmission of noise coded versus additive signals through a neuronal ensemble.Phys.

Spectral theory for population density dynamics of spiking neurons with refractoriness Transmission of noise coded versus additive signals through a neuronal ensemble.Phys

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:32.786182Z

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Observation 29f93441-6966-4ce1-b185-c73d445bb26f · outbound

This paper cites Rigorous justification of the fokker–planck equations of neural networks based on an iteration perspective.SIAM Journal on Mathematical Analysis, 54(1):1270–1312, 2022.

Spectral theory for population density dynamics of spiking neurons with refractoriness Rigorous justification of the fokker–planck equations of neural networks based on an iteration perspective.SIAM Journal on Mathematical Analysis, 54(1):1270–1312, 2022

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:32.884747Z

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Observation 90f69946-9513-4519-9b95-2a2bfef6c89c · outbound

This paper cites Population dynamics of interacting spiking neurons.

Spectral theory for population density dynamics of spiking neurons with refractoriness Population dynamics of interacting spiking neurons

Reference 25

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Observation 8bf99b4a-905b-444e-8818-a15ddd4f4abd · outbound

This paper cites Finite-size dynamics of inhibitory and excitatory interacting spiking neurons.Phys.

Spectral theory for population density dynamics of spiking neurons with refractoriness Finite-size dynamics of inhibitory and excitatory interacting spiking neurons.Phys

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:33.024746Z

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Observation 124376ec-4857-4de0-a2e3-2a17f15cf99f · outbound

This paper cites Low dimensional dynamics of spiking neuron networks.

Spectral theory for population density dynamics of spiking neurons with refractoriness Low dimensional dynamics of spiking neuron networks

Reference 27

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Observation 88d29b62-67cb-46e1-8c87-bffc5cd6b736 · outbound

This paper cites Gulf Professional Publishing, 2003.

Spectral theory for population density dynamics of spiking neurons with refractoriness Gulf Professional Publishing, 2003

Reference 28

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Observation e3659ab1-85e1-44ec-a4e7-4a309a48efbf · outbound

This paper cites Dynamics of neuronal populations: The equilibrium solution.SIAM Journal on Applied Mathematics, 60(6):2009–2028, 2000.

Spectral theory for population density dynamics of spiking neurons with refractoriness Dynamics of neuronal populations: The equilibrium solution.SIAM Journal on Applied Mathematics, 60(6):2009–2028, 2000

Reference 29

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Observation 6ba96903-4552-4320-b646-6768b2e5e23c · outbound

This paper cites an unresolved cited work.

Spectral theory for population density dynamics of spiking neurons with refractoriness Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:33.464747Z

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Observation 8bc06ce1-7881-4195-95ab-e38012524323 · outbound

This paper cites Low-dimensional firing-rate dynamics for populations of renewal-type spiking neurons.Physical Review E, 102(2):022407, 2020.

Spectral theory for population density dynamics of spiking neurons with refractoriness Low-dimensional firing-rate dynamics for populations of renewal-type spiking neurons.Physical Review E, 102(2):022407, 2020

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:33.584763Z

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Observation b8f73ad6-7650-4c4e-97e3-c005a6dc5ea4 · outbound

This paper cites First-passage-time density and moments of the Ornstein- Uhlenbeck process.J.

Spectral theory for population density dynamics of spiking neurons with refractoriness First-passage-time density and moments of the Ornstein- Uhlenbeck process.J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:33.714742Z

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Observation 803b0959-d558-4f62-9e77-30a5f1bb086d · outbound

This paper cites Effects of synaptic conductance on the voltage distribution and firing rate of spiking neurons.Phys.

Spectral theory for population density dynamics of spiking neurons with refractoriness Effects of synaptic conductance on the voltage distribution and firing rate of spiking neurons.Phys

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:33.825473Z

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Observation 499f873e-0a68-482c-84b3-038f4b96977e · outbound

This paper cites Firing-rate response of linear and nonlinear integrate-and-fire neurons to modulated current-based and conductance-based synaptic drive.Phys.

Spectral theory for population density dynamics of spiking neurons with refractoriness Firing-rate response of linear and nonlinear integrate-and-fire neurons to modulated current-based and conductance-based synaptic drive.Phys

Reference 34

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Observation 89b8018a-521e-4ebf-b598-d3ac88409669 · outbound

This paper cites Springer Berlin Heidelberg, Berlin, Heidelberg, 1989.

Spectral theory for population density dynamics of spiking neurons with refractoriness Springer Berlin Heidelberg, Berlin, Heidelberg, 1989

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:34.074751Z

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Observation e039360d-dd85-4cc6-a087-adbdb7520521 · outbound

This paper cites Modulated escape from a metastable state driven by colored noise.Phys.

Spectral theory for population density dynamics of spiking neurons with refractoriness Modulated escape from a metastable state driven by colored noise.Phys

Reference 36

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Observation 1a81dee9-e2cd-483f-80bc-179c0eed1814 · outbound

This paper cites Mind the last spike — firing rate models for mesoscopic populations of spiking neurons.Curr.

Spectral theory for population density dynamics of spiking neurons with refractoriness Mind the last spike — firing rate models for mesoscopic populations of spiking neurons.Curr

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:34.354746Z

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Observation 237182c1-2186-4526-b764-f2bfd31f9524 · outbound

This paper cites Mean-field analysis of neuronal spike dynamics.Network, 4(3):259–84, 1993.

Spectral theory for population density dynamics of spiking neurons with refractoriness Mean-field analysis of neuronal spike dynamics.Network, 4(3):259–84, 1993

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:34.487347Z

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Observation dea4419d-2880-41ed-b226-f0d8e6da18fa · outbound

This paper cites Cambridge University Press, 1988.

Spectral theory for population density dynamics of spiking neurons with refractoriness Cambridge University Press, 1988

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:34.564745Z

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Observation 9d652caa-cede-4a4f-9320-0a64f9671860 · outbound

This paper cites Rosetta stone for the population dynamics of spiking neuron networks.Physical Review E, 110(3):034303, 2024.

Spectral theory for population density dynamics of spiking neurons with refractoriness Rosetta stone for the population dynamics of spiking neuron networks.Physical Review E, 110(3):034303, 2024

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T09:44:34.644927Z

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