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Daily network digest

Tuesday, December 30, 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 2.99× the influence of an average node across 1494 stocks.

stocks
1494
Density
0.176
Clustering
0.430
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 0.00200 2.99× 26.1% 14.3% L, RY, ULS, RLI, AMH
CSX 2 0.00194 2.90× 25.2% 13.7% CL, V, ORLY, EXPD, DIS
CME 3 0.00190 2.83× 29.1% 20.2% NNN, OHI, SPGI, OGE, SLF
ROP 4 0.00177 2.64× 25.3% 15.7% BNS, AEP, CME, STE, JCI
EPD 5 0.00172 2.57× 26.1% 9.9% CSX, MO, COR, MKL, CSCO
CSQ 6 0.00162 2.42× 22.8% 1.9% SU, RS, VTR, CIGI, SFBS
BMO 7 0.00160 2.39× 24.0% 16.1% CSQ, AGO, SPGI, EVRG, MTG
AIG 8 0.00156 2.33× 29.2% 19.6% ROP, CSQ, PBA, RLI, UDR
EXPD 9 0.00156 2.33× 28.6% 14.6% TGNA, SPGI, DTE, CMS, CL
COST 10 0.00156 2.33× 30.2% 12.5% VLTO, DIS, ITW, NXST, CSX

Rising influence vs 2025-12-29

SymbolPageRank PreviousChange
AYI 0.001340.00010 +0.00124
WSFS 0.001290.00010 +0.00119
WH 0.001250.00010 +0.00115
MTZ 0.001240.00010 +0.00114
ITRI 0.001230.00010 +0.00113

Falling influence

SymbolPageRank PreviousChange
DBX 0.000100.00147 -0.00137
LBTYK 0.000100.00142 -0.00132
BTSG 0.000100.00135 -0.00125
BLKB 0.000100.00132 -0.00122
COKE 0.000100.00130 -0.00120

Cryptocurrency

PAXGUSD was the most central name, carrying 5.26× the influence of an average node across 378 assets.

assets
378
Density
0.110
Clustering
0.351
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
PAXGUSD 1 0.01391 5.26× 58.9% 28.6% XRPAUD, YGGUSD, UNIUSD, ORCAUSD, QIUSD
SBRUSD 2 0.01316 4.97× 51.7% 22.0% TONUSD, BTCGBP, DIAUSD, SWEATUSD, SDNUSD
AIRUSD 3 0.01131 4.27× 47.7% 21.2% AXLUSD, CSPRUSD, CHZUSD, ADAUSD, JUPUSD
SGBUSD 4 0.01102 4.17× 42.7% 13.8% BNCUSD, SBRUSD, RBCUSD, RAREUSD, UNFIUSD
KMNOUSD 5 0.01092 4.13× 46.9% 8.8% KAVAUSD, LRDSUSD, ZEUSUSD, LSETHUSD, MVUSD
KAVAUSD 6 0.01059 4.00× 39.0% 8.8% RARIUSD, POLSUSD, AIRUSD, IOTXUSD, ETHFIUSD
INVUSD 7 0.00946 3.58× 36.1% 21.5% MNGOUSD, OXTUSD, BTTUSD, TBTCUSD, PAXGUSD
KEYUSD 8 0.00933 3.53× 43.5% 17.0% BCHNUSD, ALPHAUSD, REPV2USD, AAVEUSD, MEMEUSD
PNKUSD 9 0.00898 3.40× 38.2% 23.6% CORECHAINUSD, HDXUSD, AUDIOUSD, XTZUSD, SPAUSD
XRTUSD 10 0.00893 3.38× 34.7% 28.4% PONDUSD, DNTUSD, BTRSTUSD, SEAMUSD, SANDUSD

Rising influence vs 2025-12-29

SymbolPageRank PreviousChange
SBRUSD 0.013160.00502 +0.00814
PAXGUSD 0.013910.00602 +0.00789
KMNOUSD 0.010920.00316 +0.00777
AIRUSD 0.011310.00420 +0.00711
KAVAUSD 0.010590.00489 +0.00570

Falling influence

SymbolPageRank PreviousChange
BSXUSD 0.002070.01467 -0.01259
SDNUSD 0.003750.01147 -0.00772
ASMUSD 0.002830.01046 -0.00763
PROUSD 0.004010.01065 -0.00664
MOONUSD 0.002980.00936 -0.00638

Foreign exchange

AUDBRL was the most central name, carrying 14.41× the influence of an average node across 852 pairs.

pairs
852
Density
0.040
Clustering
0.345
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
AUDBRL 1 0.01691 14.41× 34.7% 7.4% USDRUB, NZDIDR, USDCHF, GBPHTG, THBUSD
DOPUSD 2 0.01417 12.08× 3.6% 1.1% GBPRSD, RSDGBP, CHFRSD, JPYRSD, COPCLP
CADBRL 3 0.01258 10.72× 18.2% 3.6% BRLRUB, RUBCHF, PENCAD, KRWRUB, CHFRUB
KRWBRL 4 0.01192 10.16× 18.0% 4.7% CLPGBP, GBPCLP, RONZAR, ZARRON, COPBRL
USDSOS 5 0.01060 9.03× 5.4% 1.3% USDPEN, ARSCLP, GHSGBP, CLPARS, ARSPEN
PENCAD 6 0.00937 7.98× 27.8% 5.6% CNYSGD, DKKPKR, IDRKRW, THBSGD, NZDUSD
COPBRL 7 0.00849 7.24× 26.6% 15.5% NZDSEK, DKKINR, USDDKK, DKKUSD, EURHKD
COPUSD 8 0.00841 7.16× 26.2% 6.9% CHFUSD, GBPHTG, CHFHKD, THBUSD, USDCHF
GBPCLP 9 0.00834 7.10× 26.1% 6.7% CHFUSD, PENMXN, HKDCHF, USDCHF, GBPHTG
CHFTHB 10 0.00831 7.08× 26.2% 6.9% USDCHF, PENMXN, HKDCHF, GBPHTG, CHFUSD

Rising influence vs 2025-12-29

SymbolPageRank PreviousChange
AUDBRL 0.016910.00105 +0.01586
CADBRL 0.012580.00229 +0.01029
CHFTHB 0.008310.00026 +0.00804
USDSOS 0.010600.00269 +0.00791
PENCAD 0.009370.00153 +0.00784

Falling influence

SymbolPageRank PreviousChange
GBPXPF 0.000390.01096 -0.01057
SEKILS 0.001010.00993 -0.00892
TWDSEK 0.001590.01008 -0.00849
MYRZAR 0.000340.00663 -0.00629
GBPMGA 0.000960.00657 -0.00562

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.