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Daily network digest

Thursday, December 25, 2025

Directed information-flow networks for this session, covering US equities, Cryptocurrency, Foreign exchange. Each class is estimated independently over a trailing one-year window; the tables below rank the assets carrying the most influence within their own network.

Jump to: US equities · Cryptocurrency · Foreign exchange

US equities

PBA was the most central name, carrying 2.97× the influence of an average node across 1495 stocks.

stocks
1495
Density
0.178
Clustering
0.429
Diameter
2

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
PBA 1 0.00198 2.97× 25.2% 14.3% L, ROP, PCAR, RY, AGNC
CSX 2 0.00189 2.82× 24.5% 14.3% VOYA, V, BNL, ED, AMT
CME 3 0.00176 2.63× 28.0% 20.2% OHI, SPGI, OGE, NNN, DOX
EPD 4 0.00172 2.57× 26.4% 10.9% MKL, CSCO, MO, COR, ITW
CSQ 5 0.00166 2.49× 23.3% 1.7% SU, VTR, RS, PEG, UNF
ROP 6 0.00165 2.47× 24.6% 15.9% BNS, AEP, STE, EQH, CME
BMO 7 0.00161 2.41× 25.2% 16.0% MTG, SPGI, AGO, CSQ, EVRG
CL 8 0.00157 2.35× 25.4% 13.7% EGP, SNA, HTGC, OHI, NBIX
OHI 9 0.00156 2.33× 28.6% 14.1% WEC, TRMB, AER, DPZ, BRK.B
COST 10 0.00153 2.29× 29.9% 12.2% CSX, VLTO, VZ, OHI, DIS

Rising influence vs 2025-12-24

SymbolPageRank PreviousChange
REGN 0.001190.00096 +0.00023
FER 0.001150.00095 +0.00020
AMT 0.001000.00084 +0.00017
C 0.001190.00109 +0.00011
MET 0.001100.00100 +0.00010

Falling influence

SymbolPageRank PreviousChange
HLNE 0.000100.00108 -0.00098
OUT 0.000100.00091 -0.00081
PCOR 0.000100.00090 -0.00079
CHE 0.000950.00119 -0.00024
GXO 0.000850.00105 -0.00020

Cryptocurrency

KEEPUSD was the most central name, carrying 7.90× the influence of an average node across 379 assets.

assets
379
Density
0.125
Clustering
0.359
Diameter
2

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
KEEPUSD 1 0.02084 7.90× 69.0% 15.6% CROUSD, ATLASUSD, CQTUSD, ACXUSD, MNGOUSD
CQTUSD 2 0.01404 5.32× 51.9% 25.7% GFIUSD, BTCJPY, DOTUSD, XRPUSD, CSPRUSD
KAVAUSD 3 0.01219 4.62× 51.3% 12.4% ADXUSD, RENUSD, SWFTCUSD, CVCUSD, REQUSD
MVUSD 4 0.01148 4.35× 46.8% 39.2% GNOUSD, AIRUSD, SAFEUSD, LSETHUSD, ZROUSD
REQUSD 5 0.01060 4.02× 44.7% 22.5% RBCUSD, KEEPUSD, SAFEUSD, DIMOUSD, BITUSD
TRXUSD 6 0.00898 3.40× 41.8% 23.3% XRTUSD, EWTUSD, CQTUSD, REQUSD, TRACUSD
LITUSD 7 0.00887 3.36× 38.9% 15.9% SEAMUSD, MNTUSD, TUSD, BTCJPY, MXCUSD
MIRUSD 8 0.00831 3.15× 37.6% 17.2% WHBTUSD, ARBUSD, ASTRUSD, BEAMUSD, CHRUSD
MXCUSD 9 0.00796 3.02× 43.4% 31.0% HBARUSD, ETHUSD, CHZUSD, SRMUSD, STORJUSD
XAUTUSD 10 0.00774 2.93× 42.1% 34.4% XDCUSD, SDNUSD, SEIEUR, AERGOUSD, PYRUSD

Rising influence vs 2025-12-24

SymbolPageRank PreviousChange
CQTUSD 0.014040.00517 +0.00887
MVUSD 0.011480.00545 +0.00603
MIRUSD 0.008310.00247 +0.00585
MXCUSD 0.007960.00288 +0.00508
DNTUSD 0.007070.00209 +0.00499

Falling influence

SymbolPageRank PreviousChange
SBRUSD 0.005260.01402 -0.00876
INVUSD 0.002890.00901 -0.00612
KMNOUSD 0.004660.00985 -0.00519
FLRUSD 0.002170.00726 -0.00509
PAXGUSD 0.007440.01205 -0.00461

Foreign exchange

GBPXPF was the most central name, carrying 8.85× the influence of an average node across 843 pairs.

pairs
843
Density
0.048
Clustering
0.369
Diameter

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
GBPXPF 1 0.01049 8.85× 4.9% 8.3% NZDTRY, TWDDKK, TWDCHF, TWDEUR, TWDNZD
JPYBRL 2 0.00945 7.96× 13.2% 7.1% CADRUB, BRLUSD, USDRUB, RUBUSD, RUBCAD
SEKILS 3 0.00926 7.81× 7.6% 5.5% ILSNOK, KRWBRL, GBPBRL, RUBCAD, PENBRL
BRLJPY 4 0.00881 7.43× 13.2% 7.4% CADRUB, RUBCAD, BRLUSD, RUBUSD, USDRUB
DOPUSD 5 0.00879 7.41× 3.7% 1.1% CHFRSD, RSDGBP, JPYRSD, GBPRSD, GHSUSD
CNYHKD 6 0.00860 7.25× 3.7% 1.3% JPYRSD, RSDGBP, GBPRSD, USDGHS, COPCLP
TWDSEK 7 0.00835 7.04× 5.6% 6.3% TZSZAR, KRWBRL, GBPBRL, ZARNGN, ZARRON
EURNGN 8 0.00648 5.46× 1.7% 0.6% EURBSD, EURNPR, EURBTN, EURPGK, EURDOP
CNYCAD 9 0.00640 5.39× 22.7% 1.2% GBPXPF, BRLSEK, SEKILS, KRWBRL, TWDSEK
CNYSGD 10 0.00640 5.39× 24.0% 2.5% DKKPKR, GBPCAD, COPMXN, GBPXPF, TWDSEK

Rising influence vs 2025-12-24

SymbolPageRank PreviousChange
SEKILS 0.009260.00090 +0.00836
JPYBRL 0.009450.00169 +0.00775
TWDSEK 0.008350.00065 +0.00770
BRLJPY 0.008810.00171 +0.00711
MYRZAR 0.006310.00098 +0.00534

Falling influence

SymbolPageRank PreviousChange
USDRUB 0.002420.00657 -0.00415
BWPZAR 0.000700.00452 -0.00382
AUDTHB 0.000220.00376 -0.00353
GBPARS 0.003290.00671 -0.00342
ARSGBP 0.003260.00650 -0.00324

How these numbers are produced

Transfer entropy measures how much knowing one asset's past reduces uncertainty about another's future, beyond what that asset's own past already explains. Unlike correlation it is directional, so an edge from A to B means A's moves carry information about B's next move — not merely that they move together.

Each night we estimate transfer entropy across three universes — roughly 1,500 US common stocks, 350 cryptocurrencies and 550 currency pairs — over a trailing one-year window, conditioning on a broad market series so that shared market-wide movement is discounted rather than counted as a link. Edges surviving the significance filter form that session's directed network, from which the centrality figures on this page are computed. Coverage differs by class: crypto reaches back to January 2024, equities to August 2025, so older digests may cover fewer classes.

PageRank ranks an asset by how much influence flows into it from other influential assets. In-degree and out-degree are the share of the network sending information to it and receiving information from it. Betweenness captures how often an asset sits on the shortest path between two others.

The volatility watch score is a model estimate of the probability that an asset sees elevated volatility in the coming sessions. It is a research output, not a forecast of price direction, and nothing on this page is investment advice.