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Daily network digest

Friday, September 12, 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 2.60× the influence of an average node across 1492 stocks.

stocks
1492
Density
0.177
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
PBA 1 0.00174 2.60× 24.9% 14.2% L, ITW, SON, ATR, IDXX
SPG 2 0.00170 2.53× 23.9% 15.2% CASY, HD, ARCC, GDDY, LXP
TU 3 0.00161 2.40× 31.5% 17.4% MNST, CL, AIZ, ARCC, TGNA
CME 4 0.00161 2.40× 30.7% 20.7% ECL, ATO, ATR, OGE, RBA
CUZ 5 0.00155 2.31× 34.6% 16.7% SHW, MA, GIB, CLX, UGI
INTU 6 0.00153 2.28× 30.1% 14.9% FSV, WTM, BMO, WTW, PBA
REG 7 0.00152 2.28× 24.0% 14.6% VTR, WPC, BRK.B, GGG, HWM
GBDC 8 0.00152 2.27× 25.6% 17.2% MSA, STE, CSCO, MMSI, BK
DE 9 0.00152 2.27× 29.2% 15.2% BRK.A, GIB, CAH, CB, BLK
CSCO 10 0.00149 2.22× 25.8% 13.8% CHE, HON, XEL, CPRT, MAIN

Rising influence vs 2025-09-11

SymbolPageRank PreviousChange
CUZ 0.001550.00010 +0.00145
TOST 0.001310.00010 +0.00121
PCVX 0.001300.00010 +0.00120
MEOH 0.001250.00010 +0.00115
THO 0.001240.00010 +0.00114

Falling influence

SymbolPageRank PreviousChange
DBX 0.000100.00158 -0.00148
ESLT 0.000100.00150 -0.00140
OKTA 0.000100.00146 -0.00136
CMA 0.000100.00144 -0.00134
APTV 0.000100.00138 -0.00128

Cryptocurrency

TRXUSD was the most central name, carrying 6.83× the influence of an average node across 219 assets.

assets
219
Density
0.092
Clustering
0.314
Diameter
3

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
TRXUSD 1 0.03117 6.83× 53.2% 9.6% FOXUSD, ETHBTC, AIOZUSD, LSKUSD, XRDUSD
LTCBTC 2 0.02654 5.81× 47.7% 20.6% TUSD, TRXUSD, AERGOUSD, XRPBTC, DYDXEUR
XMRUSD 3 0.02248 4.92× 31.2% 19.7% DYDXEUR, PUNDIXUSD, LSKUSD, STXUSD, CTSIUSD
LCXUSD 4 0.02089 4.57× 39.4% 13.8% HNTUSD, BTRSTUSD, SRMUSD, PUNDIXUSD, REPUSD
BTCEUR 5 0.01882 4.12× 40.8% 17.9% LTCBTC, CHZUSD, YFIUSD, NANOUSD, TRXUSD
KEEPUSD 6 0.01809 3.96× 33.5% 9.6% NEXOUSD, TRXUSD, IMXUSD, BCHEUR, MIRUSD
KRLUSD 7 0.01677 3.67× 43.1% 13.3% UMAUSD, NEXOUSD, XMRUSD, USTUSD, GNOUSD
BTRSTUSD 8 0.01493 3.27× 28.0% 12.4% WBTCUSD, XMRUSD, LTCBTC, BTCJPY, TRXUSD
BTCJPY 9 0.01439 3.15× 33.5% 13.3% REPUSD, QTUMUSD, ILVUSD, VETUSD, UMAUSD
WBTCUSD 10 0.01211 2.65× 28.4% 9.6% YFIUSD, LTCBTC, DIAUSD, ZECUSD, AVTUSD

Rising influence vs 2025-09-11

SymbolPageRank PreviousChange
KEEPUSD 0.018090.00257 +0.01551
XMRUSD 0.022480.00845 +0.01403
LTCBTC 0.026540.01299 +0.01355
BTCEUR 0.018820.00564 +0.01318
TRXUSD 0.031170.01898 +0.01219

Falling influence

SymbolPageRank PreviousChange
XAUTUSD 0.003410.01656 -0.01315
MKRUSD 0.006170.01873 -0.01256
KAVAUSD 0.011770.02392 -0.01214
JUPUSD 0.001190.01169 -0.01049
XRPAUD 0.004740.01441 -0.00967

Foreign exchange

ARSEUR was the most central name, carrying 18.15× the influence of an average node across 844 pairs.

pairs
844
Density
0.063
Clustering
0.383
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
ARSEUR 1 0.02151 18.15× 20.3% 4.0% BRLJPY, JPYBRL, TWDSEK, EURBRL, BRLSGD
AUDBRL 2 0.00957 8.07× 39.6% 7.1% BRLKRW, XAUBRL, USDRUB, CADRUB, KRWRUB
CNYHKD 3 0.00787 6.65× 3.2% 0.2% EURGHS, GHSEUR
COPBRL 4 0.00773 6.53× 33.8% 16.6% NZDSEK, DKKUSD, CZKUSD, DKKHKD, USDCZK
BRLJPY 5 0.00709 5.98× 17.3% 4.2% XAUJPY, COPBRL, BRLKRW, AUDBRL, PENCAD
KRWBRL 6 0.00697 5.88× 23.3% 8.5% BRLKRW, EURSEK, PHPUSD, XAURUB, BRLRUB
USDCLP 7 0.00671 5.66× 35.2% 9.5% CHFHKD, PENMXN, HKDCHF, AEDGBP, CNYCAD
CADBRL 8 0.00660 5.57× 20.8% 5.8% XAURUB, AUDBRL, BRLAUD, COPBRL, CADINR
BRLKRW 9 0.00655 5.53× 18.3% 10.7% QARZAR, ARSMXN, TRYPLN, XAGRUB, GBPDOP
EURPYG 10 0.00632 5.33× 1.8% 0.9% BRLEUR, EURLRD, EURMWK, EURDOP, EURHNL

Rising influence vs 2025-09-11

SymbolPageRank PreviousChange
ARSEUR 0.021510.00727 +0.01424
AUDBRL 0.009570.00212 +0.00745
EURPYG 0.006320.00076 +0.00557
USDMUR 0.005640.00069 +0.00494
CHFINR 0.004990.00030 +0.00469

Falling influence

SymbolPageRank PreviousChange
GBPXPF 0.000370.01322 -0.01285
SEKILS 0.002190.01271 -0.01051
TWDSEK 0.002540.00892 -0.00637
GBPMUR 0.000430.00608 -0.00564
MYRZAR 0.000450.00605 -0.00560

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.