Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T21:58:26.162784Z
Paper Citation Record · LEDGER
As of 23 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2412.03978.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T21:58:26.162784Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
60 of 60 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a7a6f1be-364a-4101-ac76-d042c00505dc · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Modeling of turing structures in the chlo- rite—iodide—malonic acid—starch reaction system
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a3a1ba84-7fda-434c-9329-c18848c86964 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux A chemical approach to designing turing patterns in reaction-diffusion systems
Reference 2
Source-reported events for the cited work
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Observation f464ea1a-783f-4bf3-b715-5e2268afbb0c · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Complex patterns in a simple system
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c4b99fac-81f9-455e-88eb-f6a7e6d6dd39 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux The segmentation clock: converting embryonic time into spatial pattern
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c75a9c3a-8a87-4b30-ba7f-d19151341b68 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Single-cell transcriptome analysis reveals cell lineage specification in temporal-spatial patterns in human cortical development
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 781b82b2-c6f6-440b-a0b6-34815b5db834 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Multimodal transcriptional control of pattern formation in embryonic development
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f7174c87-1c08-4385-8583-d875b9084b2f · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Morphogen rules: design principles of gradient-mediated embryo patterning
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9eeaeb09-1180-4ce4-892e-eb7c16499b35 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Probabilistic foundations of spatial mean-field models in ecology and applications
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b22b9e8a-debe-420f-b058-2eb4494c422f · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Pattern formation in mesic savannas
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c22ad5df-6ba0-4526-9f66-784cf88131f6 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Spatial dy- namics with heterogeneity
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 679194b6-0d5a-415b-8b85-76b45c7a1e58 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Pattern formation of a spatial predator–prey system
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation cc7bf17f-10b0-4ea6-9e25-6b05873bc9d4 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Existence and non-existence of spatial patterns in a ratio- dependent predator–prey model
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1d9d1136-09fd-43d3-99b8-bcb644e162bf · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Spatial ecology via reaction-diffusion equations
Reference 13
Source-reported events for the cited work
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Observation 2973791e-0a60-4903-a5eb-ab16e9bbb418 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Pattern formation and dynamics in nonequilibrium systems
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2c30b1fc-f506-4dc0-acb1-b9cf27d97873 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Transition to chemical turbulence
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 14ce4eae-7016-47ef-b90c-7b61180ea4eb · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Statistical models for spatial patterns of heavy particles in turbulence
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 508475bf-3b65-421d-8a67-3df0f471df79 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Evasion of tipping in complex systems through spatial pattern 20 formation
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6684c36c-3b06-41a7-a66a-2ade1fa8b304 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Spatial patterns of tumour growth impact clonal diversification in a computational model and the tracerx renal study
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 44441fbc-8ab1-4548-91b3-8f207f55f5f3 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Resilience indica- tors: prospects and limitations for early warnings of regime shifts
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a66c39d7-ab29-47fa-9f52-d27cbaccc283 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Early warning signals of ecological transitions: methods for spatial patterns
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 46c6bd12-6919-438b-8664-3bf9b53a9a38 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Early warning signals of regime shifts from cross-scale connectivity of land-cover patterns
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4c8cdd5e-c6a9-41b7-836d-d1abd7fa20ec · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Non-equilibrium early-warning signals for critical transitions in ecological systems
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a4c98897-ecf0-42f8-835b-d911690e82e0 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Potential landscape and flux framework of nonequilibrium networks: robustness, dissipation, and coherence of biochemical oscillations
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7ead0ddd-0f90-4b04-9edc-b23a06b7e0db · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Landscape and flux reveal a new global view and physical quan- tification of mammalian cell cycle
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c00b5721-626c-4db8-829c-02f0700959f9 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Nonequilibrium physics in biology
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b10b4230-b06b-4d5d-a304-aff0ffa04f15 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Conformational state switching and pathways of chromosome dynamics in cell cycle
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation dd74a5e6-7e47-44c1-8bdd-ba9c997ca3e9 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Landscape and flux theory of non-equilibrium dynamical systems with application to biology
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5995aed3-2d9c-45ea-8a22-75fe88838572 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Dynamical and ther- modynamical origins of motility-induced phase separation
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation afc06280-8d7a-4bd1-aa01-54dda7d909b4 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Nonequilibrium thermodynamics in cell biology: Extending equilibrium formalism to cover living systems
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 149110b0-9a4f-4ad7-9a0f-4f53de512736 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Quantifying the landscape for development and cancer from a core cancer stem cell circuit
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8d5a6a67-f17e-42da-b5f5-2bf2cc394273 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Nonequilibrium landscape theory of neural networks
Reference 31
Source-reported events for the cited work
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Observation 5d445e46-a0b1-486c-81ac-8188aab73bed · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Unifying deterministic and stochastic ecological dynamics via a landscape-flux approach
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5a208034-3bca-4d23-bb44-4cdf34e3622c · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Landscape framework and global stability for stochastic reaction diffusion and general spatially extended systems with intrinsic fluctuations
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 14bc6844-30fe-4532-9adf-85dfa1abd47d · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Potential and flux field landscape theory
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4147b439-b37c-47e7-8f66-8ce3e88c3d79 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Potential and flux field landscape theory
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 93b7ac3a-397a-4bec-91ce-b4a686285ebe · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Generalized fluctuation-dissipation theorem for non-equilibrium spa- tially extended systems
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a73fa6f0-7845-4c6e-ad9e-c82e0ea7606d · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux An introduction to quantum field theory
Reference 37
Source-reported events for the cited work
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Observation d26cfaca-7347-40fc-9d71-9b48c5e8c9be · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Statistical field theory: volume 2, strong coupling, Monte Carlo methods, conformal field theory and random systems , volume 2
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5def5293-e37c-4b0c-9d56-83a0e6df3715 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Effects of molecular noise on bistable protein distribu- tions in rod-shaped bacteria
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 95c8f2f6-4377-4575-b01b-c56d4e238fcb · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Regular and irregular patterns in semiarid vegetation
Reference 40
Source-reported events for the cited work
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Observation 6ca63cd6-d002-4562-8b6d-19ed2f2aa06e · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Diversity of vegetation patterns and desertification
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 73a24497-22a2-41b5-8c8e-b3e5f025642a · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Effects of feedback regulation on vegetation patterns in semi-arid environments
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 89ebb486-7dd4-42ac-afd9-6fdd3fc7b169 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Soil and water components of banded vegetation patterns
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fd1d4ffc-b5d2-4faf-b09f-757141c15289 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux The butana grass patterns
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a557aa11-1353-49ed-a339-ebe80268ae9b · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Brousse tigr´ ee patterns in southern niger
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f51d7389-06e9-4116-9071-40ac8c5e7d80 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Revegetation of natural and human-caused disturbances in the serengeti national park, tanzania
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2d07b2e3-4339-4581-a51c-ffd8c24cbd38 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Vegetation banding in arid western australia
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 73c73dc0-9ab4-4073-bb4b-7792351b4b8c · outbound
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Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e3923189-fadb-41e9-bc96-2475dc1c1bdf · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux The response of two woody species to the conditions created by a shifting ecotone in an arid ecosystem
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 02a87060-c114-4090-80a1-ed2df695212b · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Self-organized patchiness and catastrophic shifts in ecosystems
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de487c5f-ee33-4a92-abf6-ba3d5d889b2d · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Emerged or imposed: a theory on the role of physical templates and self-organisation for vegetation patchiness
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation bcd7b45d-63a3-4ae9-8ec7-a841691e47d9 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Catas- trophic shifts in ecosystems
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0d303fa0-85b1-4598-9f85-80136f7454b8 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Spatial vegetation patterns and imminent desertifi- 23 cation in mediterranean arid ecosystems
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation df003e20-568f-430d-9cc0-63f7218fa9d6 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Early- warning signals for critical transitions
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b510530c-ada1-4746-a4b3-b8debebd01d5 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Vegetation patterns along a rainfall gradient
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation bb67e7ff-d2bb-497a-9448-e645692a4402 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Modeling dryland landscapes
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d8f7ddd3-9182-4a3a-99e1-79f178013d87 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Nonlinear physics of ecosystems
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 15b9ab88-f012-4c07-8b4d-0c6208dfce4e · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Handbook of stochastic methods , volume 3
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b88bebac-f29d-4db7-9350-a371b099dab0 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Kinetic paths, time scale, and underlying land- scapes: A path integral framework to study global natures of nonequilibrium systems and networks
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a949fe00-afa9-4791-a67d-c534a90432d1 · outbound
Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux Stochastic thermodynamics, fluctuation theorems and molecular machines
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
No inbound Pith citation observations are available.