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Daily network digest

Monday, December 15, 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

SCHW was the most central name, carrying 2.93× the influence of an average node across 1494 stocks.

stocks
1494
Density
0.171
Clustering
0.426
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
SCHW 1 0.00196 2.93× 31.0% 14.1% EVRG, CL, AVB, CPK, CME
STE 2 0.00187 2.79× 30.4% 15.4% FERG, NHI, ALLE, IDXX, IFS
RPRX 3 0.00185 2.76× 30.5% 17.2% JNJ, LH, PBA, RITM, CSX
TD 4 0.00181 2.71× 25.3% 12.9% LAUR, ITW, VOYA, MKL, WPC
CME 5 0.00179 2.68× 26.8% 16.9% TD, EQIX, BIPC, STWD, AME
ADC 6 0.00175 2.62× 21.0% 10.3% TRMB, SYY, VICI, HEI, CDP
WES 7 0.00171 2.56× 29.3% 16.7% TRP, FR, EQIX, ARCC, CNI
EPRT 8 0.00169 2.53× 30.3% 17.2% PPL, XYL, SCHW, MAA, DTM
CNA 9 0.00169 2.52× 30.1% 15.3% UGI, SWX, ACGL, MPLX, MA
LMT 10 0.00166 2.49× 31.7% 18.8% GTLS, RY, SSNC, ZWS, ADC

Rising influence vs 2025-12-12

SymbolPageRank PreviousChange
PM 0.001470.00010 +0.00137
FG 0.001440.00010 +0.00134
KBR 0.001400.00010 +0.00130
BTSG 0.001380.00010 +0.00128
ROST 0.001370.00010 +0.00127

Falling influence

SymbolPageRank PreviousChange
GIL 0.000100.00140 -0.00130
FHB 0.000100.00138 -0.00128
BBU 0.000100.00137 -0.00127
MPC 0.000100.00132 -0.00122
TXNM 0.000100.00131 -0.00121

Cryptocurrency

SBRUSD was the most central name, carrying 5.55× the influence of an average node across 380 assets.

assets
380
Density
0.102
Clustering
0.340
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
SBRUSD 1 0.01461 5.55× 49.9% 19.0% TONUSD, BTCGBP, INDEXUSD, COWUSD, NCTUSD
PAXGUSD 2 0.01380 5.25× 54.9% 31.7% XRPAUD, REPUSD, UNIUSD, BSXUSD, KAVAUSD
KMNOUSD 3 0.01207 4.58× 47.5% 11.6% KAVAUSD, LSETHUSD, LRDSUSD, SAGAUSD, ZEUSUSD
AIRUSD 4 0.01196 4.55× 45.4% 20.1% KEEPUSD, AXLUSD, ZROUSD, MEMEUSD, TIMEUSD
KAVAUSD 5 0.01085 4.12× 38.0% 9.8% TOKEUSD, BTRSTUSD, MULTIUSD, SRMUSD, AIRUSD
INVUSD 6 0.01048 3.98× 36.7% 23.0% YFIUSD, MNGOUSD, OCEANUSD, OXTUSD, PAXGUSD
XAUTUSD 7 0.01019 3.87× 44.3% 36.7% SCUSD, HNTUSD, LPTUSD, ORCAUSD, DNTUSD
PNKUSD 8 0.01007 3.82× 38.0% 23.5% ATLASUSD, CORECHAINUSD, KP3RUSD, DNTUSD, SWFTCUSD
KEYUSD 9 0.00948 3.60× 41.2% 8.2% BCHNUSD, NANOUSD, REPV2USD, RAREUSD, AIRUSD
FLRUSD 10 0.00932 3.54× 35.1% 13.7% API3USD, TLMUSD, TNSRUSD, BONDUSD, MNDEUSD

Rising influence vs 2025-12-14

SymbolPageRank PreviousChange
KMNOUSD 0.012070.00256 +0.00951
SBRUSD 0.014610.00612 +0.00849
PAXGUSD 0.013800.00591 +0.00789
AIRUSD 0.011960.00455 +0.00741
KAVAUSD 0.010850.00453 +0.00632

Falling influence

SymbolPageRank PreviousChange
BSXUSD 0.002180.01337 -0.01119
PROUSD 0.003560.01263 -0.00907
GARIUSD 0.007950.01556 -0.00761
ASMUSD 0.002670.01014 -0.00748
REPUSD 0.004720.01125 -0.00652

Foreign exchange

CNYHKD was the most central name, carrying 16.30× the influence of an average node across 894 pairs.

pairs
894
Density
0.047
Clustering
0.359
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
CNYHKD 1 0.01824 16.30× 1.6% 0.4% GHSUSD, PENCOP, CLPCOP, COPCLP
HUFZAR 2 0.01012 9.05× 5.8% 3.9% DOPGBP, GBPDOP, COPUSD, NOKUSD, SGDNOK
GBPXPF 3 0.00994 8.88× 4.6% 7.7% NZDTRY, TWDNZD, KRWBRL, TWDCHF, SGDTWD
SEKILS 4 0.00955 8.54× 6.9% 4.8% ILSNOK, GBPBRL, KRWBRL, BRLRUB, RUBCAD
TWDSEK 5 0.00901 8.05× 8.0% 7.2% KRWBRL, TZSZAR, GBPBRL, ZARNGN, HUFZAR
BRLJPY 6 0.00812 7.26× 12.5% 8.1% CADRUB, RUBCAD, BRLUSD, USDRUB, RUBUSD
JPYBRL 7 0.00800 7.15× 12.2% 7.8% CADRUB, RUBUSD, RUBCAD, USDRUB, BRLUSD
KRWEUR 8 0.00737 6.59× 4.6% 1.2% RONCHF, CHFRON, GBPDOP, ZARRON, DOPGBP
USDUYU 9 0.00687 6.14× 10.9% 0.1% CNYHKD
GBPMGA 10 0.00686 6.13× 10.9% 0.1% CNYHKD

Rising influence vs 2025-12-12

SymbolPageRank PreviousChange
CNYHKD 0.018240.00740 +0.01084
HUFZAR 0.010120.00037 +0.00975
GBPXPF 0.009940.00038 +0.00955
SEKILS 0.009550.00109 +0.00846
KRWEUR 0.007370.00079 +0.00658

Falling influence

SymbolPageRank PreviousChange
AUDBRL 0.000670.01674 -0.01606
CADBRL 0.001780.01220 -0.01043
CHFTHB 0.000230.00755 -0.00733
KRWBRL 0.004130.01136 -0.00723
XAUAUD 0.000690.00643 -0.00573

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.